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Finding the Fourth Proportional to 11,665.24, 16,098.42 and 6,948.88

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Solution

The fourth proportional to 11,665.24, 16,098.42 and 6,948.88 is: 9,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.24 : 16,098.42 = 6,948.88 : x
  2. Step 2: Convert to fraction form
    11,665.24/16,098.42 = 6,948.88/x
  3. Step 3: Cross multiply
    11,665.24x = 16,098.42 × 6,948.88
  4. Step 4: Simplify right side
    11,665.24x = 111,865,988.77
  5. Step 5: Solve for x
    x = 111,865,988.77/11,665.24
  6. Step 6: Final answer
    x = 9,589.69

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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.