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Finding the Fourth Proportional to 6,742,841.80, 10,123,593.90 and 5,324,499.40

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Solution

The fourth proportional to 6,742,841.80, 10,123,593.90 and 5,324,499.40 is: 7,994,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742,841.80 : 10,123,593.90 = 5,324,499.40 : x
  2. Step 2: Convert to fraction form
    6,742,841.80/10,123,593.90 = 5,324,499.40/x
  3. Step 3: Cross multiply
    6,742,841.80x = 10,123,593.90 × 5,324,499.40
  4. Step 4: Simplify right side
    6,742,841.80x = 53,903,069,646,393.66
  5. Step 5: Solve for x
    x = 53,903,069,646,393.66/6,742,841.80
  6. Step 6: Final answer
    x = 7,994,117.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.