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Finding the Fourth Proportional to 11,902.91, 16,425.75 and 6,597.68

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Solution

The fourth proportional to 11,902.91, 16,425.75 and 6,597.68 is: 9,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.91 : 16,425.75 = 6,597.68 : x
  2. Step 2: Convert to fraction form
    11,902.91/16,425.75 = 6,597.68/x
  3. Step 3: Cross multiply
    11,902.91x = 16,425.75 × 6,597.68
  4. Step 4: Simplify right side
    11,902.91x = 108,371,760.13
  5. Step 5: Solve for x
    x = 108,371,760.13/11,902.91
  6. Step 6: Final answer
    x = 9,104.65

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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.