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Finding the Fourth Proportional to 10,973.73, 15,140.01 and 6,193.11

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Solution

The fourth proportional to 10,973.73, 15,140.01 and 6,193.11 is: 8,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.73 : 15,140.01 = 6,193.11 : x
  2. Step 2: Convert to fraction form
    10,973.73/15,140.01 = 6,193.11/x
  3. Step 3: Cross multiply
    10,973.73x = 15,140.01 × 6,193.11
  4. Step 4: Simplify right side
    10,973.73x = 93,763,742.17
  5. Step 5: Solve for x
    x = 93,763,742.17/10,973.73
  6. Step 6: Final answer
    x = 8,544.38

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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.