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Finding the Fourth Proportional to 10,124.70, 15,189.42 and 5,114.58

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Solution

The fourth proportional to 10,124.70, 15,189.42 and 5,114.58 is: 7,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.70 : 15,189.42 = 5,114.58 : x
  2. Step 2: Convert to fraction form
    10,124.70/15,189.42 = 5,114.58/x
  3. Step 3: Cross multiply
    10,124.70x = 15,189.42 × 5,114.58
  4. Step 4: Simplify right side
    10,124.70x = 77,687,503.74
  5. Step 5: Solve for x
    x = 77,687,503.74/10,124.70
  6. Step 6: Final answer
    x = 7,673.07

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