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Finding the Fourth Proportional to 12,098.40, 16,679.28 and 7,841.76

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Solution

The fourth proportional to 12,098.40, 16,679.28 and 7,841.76 is: 10,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.40 : 16,679.28 = 7,841.76 : x
  2. Step 2: Convert to fraction form
    12,098.40/16,679.28 = 7,841.76/x
  3. Step 3: Cross multiply
    12,098.40x = 16,679.28 × 7,841.76
  4. Step 4: Simplify right side
    12,098.40x = 130,794,910.73
  5. Step 5: Solve for x
    x = 130,794,910.73/12,098.40
  6. Step 6: Final answer
    x = 10,810.93

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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.