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Finding the Fourth Proportional to 10,575.50, 14,578.58 and 8,332.91

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Solution

The fourth proportional to 10,575.50, 14,578.58 and 8,332.91 is: 11,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.50 : 14,578.58 = 8,332.91 : x
  2. Step 2: Convert to fraction form
    10,575.50/14,578.58 = 8,332.91/x
  3. Step 3: Cross multiply
    10,575.50x = 14,578.58 × 8,332.91
  4. Step 4: Simplify right side
    10,575.50x = 121,481,997.68
  5. Step 5: Solve for x
    x = 121,481,997.68/10,575.50
  6. Step 6: Final answer
    x = 11,487.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.