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Finding the Fourth Proportional to 10,658.06, 14,714.97 and 6,882.92

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Solution

The fourth proportional to 10,658.06, 14,714.97 and 6,882.92 is: 9,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.06 : 14,714.97 = 6,882.92 : x
  2. Step 2: Convert to fraction form
    10,658.06/14,714.97 = 6,882.92/x
  3. Step 3: Cross multiply
    10,658.06x = 14,714.97 × 6,882.92
  4. Step 4: Simplify right side
    10,658.06x = 101,281,961.31
  5. Step 5: Solve for x
    x = 101,281,961.31/10,658.06
  6. Step 6: Final answer
    x = 9,502.85

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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.