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Finding the Fourth Proportional to 10,658.89, 14,716.54 and 6,891.18

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Solution

The fourth proportional to 10,658.89, 14,716.54 and 6,891.18 is: 9,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.89 : 14,716.54 = 6,891.18 : x
  2. Step 2: Convert to fraction form
    10,658.89/14,716.54 = 6,891.18/x
  3. Step 3: Cross multiply
    10,658.89x = 14,716.54 × 6,891.18
  4. Step 4: Simplify right side
    10,658.89x = 101,414,240.78
  5. Step 5: Solve for x
    x = 101,414,240.78/10,658.89
  6. Step 6: Final answer
    x = 9,514.52

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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.