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Finding the Fourth Proportional to 10,073.28, 15,109.86 and 3,917.28

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Solution

The fourth proportional to 10,073.28, 15,109.86 and 3,917.28 is: 5,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.28 : 15,109.86 = 3,917.28 : x
  2. Step 2: Convert to fraction form
    10,073.28/15,109.86 = 3,917.28/x
  3. Step 3: Cross multiply
    10,073.28x = 15,109.86 × 3,917.28
  4. Step 4: Simplify right side
    10,073.28x = 59,189,552.38
  5. Step 5: Solve for x
    x = 59,189,552.38/10,073.28
  6. Step 6: Final answer
    x = 5,875.90

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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.