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Finding the Fourth Proportional to 7,900.80, 10,905.02 and 4,756.38

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Solution

The fourth proportional to 7,900.80, 10,905.02 and 4,756.38 is: 6,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.80 : 10,905.02 = 4,756.38 : x
  2. Step 2: Convert to fraction form
    7,900.80/10,905.02 = 4,756.38/x
  3. Step 3: Cross multiply
    7,900.80x = 10,905.02 × 4,756.38
  4. Step 4: Simplify right side
    7,900.80x = 51,868,419.03
  5. Step 5: Solve for x
    x = 51,868,419.03/7,900.80
  6. Step 6: Final answer
    x = 6,564.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.