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Finding the Fourth Proportional to 10,006.47, 15,017.81 and 5,077.52

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Solution

The fourth proportional to 10,006.47, 15,017.81 and 5,077.52 is: 7,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.47 : 15,017.81 = 5,077.52 : x
  2. Step 2: Convert to fraction form
    10,006.47/15,017.81 = 5,077.52/x
  3. Step 3: Cross multiply
    10,006.47x = 15,017.81 × 5,077.52
  4. Step 4: Simplify right side
    10,006.47x = 76,253,130.15
  5. Step 5: Solve for x
    x = 76,253,130.15/10,006.47
  6. Step 6: Final answer
    x = 7,620.38

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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.