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Finding the Fourth Proportional to 12,098.28, 16,691.97 and 7,320

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Solution

The fourth proportional to 12,098.28, 16,691.97 and 7,320 is: 10,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.28 : 16,691.97 = 7,320 : x
  2. Step 2: Convert to fraction form
    12,098.28/16,691.97 = 7,320/x
  3. Step 3: Cross multiply
    12,098.28x = 16,691.97 × 7,320
  4. Step 4: Simplify right side
    12,098.28x = 122,185,220.40
  5. Step 5: Solve for x
    x = 122,185,220.40/12,098.28
  6. Step 6: Final answer
    x = 10,099.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.