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Finding the Fourth Proportional to 10,681.57, 16,029.24 and 5,754.65

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Solution

The fourth proportional to 10,681.57, 16,029.24 and 5,754.65 is: 8,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.57 : 16,029.24 = 5,754.65 : x
  2. Step 2: Convert to fraction form
    10,681.57/16,029.24 = 5,754.65/x
  3. Step 3: Cross multiply
    10,681.57x = 16,029.24 × 5,754.65
  4. Step 4: Simplify right side
    10,681.57x = 92,242,596.61
  5. Step 5: Solve for x
    x = 92,242,596.61/10,681.57
  6. Step 6: Final answer
    x = 8,635.68

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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.