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Finding the Fourth Proportional to 10,344.57, 15,524.61 and 7,578.28

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Solution

The fourth proportional to 10,344.57, 15,524.61 and 7,578.28 is: 11,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.57 : 15,524.61 = 7,578.28 : x
  2. Step 2: Convert to fraction form
    10,344.57/15,524.61 = 7,578.28/x
  3. Step 3: Cross multiply
    10,344.57x = 15,524.61 × 7,578.28
  4. Step 4: Simplify right side
    10,344.57x = 117,649,841.47
  5. Step 5: Solve for x
    x = 117,649,841.47/10,344.57
  6. Step 6: Final answer
    x = 11,373.10

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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.