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Finding the Fourth Proportional to 12,098.40, 16,691.44 and 7,909.04

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Solution

The fourth proportional to 12,098.40, 16,691.44 and 7,909.04 is: 10,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.40 : 16,691.44 = 7,909.04 : x
  2. Step 2: Convert to fraction form
    12,098.40/16,691.44 = 7,909.04/x
  3. Step 3: Cross multiply
    12,098.40x = 16,691.44 × 7,909.04
  4. Step 4: Simplify right side
    12,098.40x = 132,013,266.62
  5. Step 5: Solve for x
    x = 132,013,266.62/12,098.40
  6. Step 6: Final answer
    x = 10,911.63

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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.