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Finding the Fourth Proportional to 10,089.78, 15,124.92 and 5,161.74

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Solution

The fourth proportional to 10,089.78, 15,124.92 and 5,161.74 is: 7,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.78 : 15,124.92 = 5,161.74 : x
  2. Step 2: Convert to fraction form
    10,089.78/15,124.92 = 5,161.74/x
  3. Step 3: Cross multiply
    10,089.78x = 15,124.92 × 5,161.74
  4. Step 4: Simplify right side
    10,089.78x = 78,070,904.56
  5. Step 5: Solve for x
    x = 78,070,904.56/10,089.78
  6. Step 6: Final answer
    x = 7,737.62

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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.