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Finding the Fourth Proportional to 10,123.92, 15,175.80 and 7,039.44

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Solution

The fourth proportional to 10,123.92, 15,175.80 and 7,039.44 is: 10,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.92 : 15,175.80 = 7,039.44 : x
  2. Step 2: Convert to fraction form
    10,123.92/15,175.80 = 7,039.44/x
  3. Step 3: Cross multiply
    10,123.92x = 15,175.80 × 7,039.44
  4. Step 4: Simplify right side
    10,123.92x = 106,829,133.55
  5. Step 5: Solve for x
    x = 106,829,133.55/10,123.92
  6. Step 6: Final answer
    x = 10,552.15

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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.