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Finding the Fourth Proportional to 10,329.77, 15,499.04 and 5,644.30

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Solution

The fourth proportional to 10,329.77, 15,499.04 and 5,644.30 is: 8,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.77 : 15,499.04 = 5,644.30 : x
  2. Step 2: Convert to fraction form
    10,329.77/15,499.04 = 5,644.30/x
  3. Step 3: Cross multiply
    10,329.77x = 15,499.04 × 5,644.30
  4. Step 4: Simplify right side
    10,329.77x = 87,481,262.92
  5. Step 5: Solve for x
    x = 87,481,262.92/10,329.77
  6. Step 6: Final answer
    x = 8,468.85

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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.