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Finding the Fourth Proportional to 10,578.48, 15,846.56 and 5,037.20

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Solution

The fourth proportional to 10,578.48, 15,846.56 and 5,037.20 is: 7,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.48 : 15,846.56 = 5,037.20 : x
  2. Step 2: Convert to fraction form
    10,578.48/15,846.56 = 5,037.20/x
  3. Step 3: Cross multiply
    10,578.48x = 15,846.56 × 5,037.20
  4. Step 4: Simplify right side
    10,578.48x = 79,822,292.03
  5. Step 5: Solve for x
    x = 79,822,292.03/10,578.48
  6. Step 6: Final answer
    x = 7,545.72

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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.