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Finding the Fourth Proportional to 10,452.99, 15,697.82 and 8,115.63

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Solution

The fourth proportional to 10,452.99, 15,697.82 and 8,115.63 is: 12,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.99 : 15,697.82 = 8,115.63 : x
  2. Step 2: Convert to fraction form
    10,452.99/15,697.82 = 8,115.63/x
  3. Step 3: Cross multiply
    10,452.99x = 15,697.82 × 8,115.63
  4. Step 4: Simplify right side
    10,452.99x = 127,397,658.35
  5. Step 5: Solve for x
    x = 127,397,658.35/10,452.99
  6. Step 6: Final answer
    x = 12,187.68

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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.