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Finding the Fourth Proportional to 10,582.12, 15,861.84 and 5,032

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Solution

The fourth proportional to 10,582.12, 15,861.84 and 5,032 is: 7,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.12 : 15,861.84 = 5,032 : x
  2. Step 2: Convert to fraction form
    10,582.12/15,861.84 = 5,032/x
  3. Step 3: Cross multiply
    10,582.12x = 15,861.84 × 5,032
  4. Step 4: Simplify right side
    10,582.12x = 79,816,778.88
  5. Step 5: Solve for x
    x = 79,816,778.88/10,582.12
  6. Step 6: Final answer
    x = 7,542.61

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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.