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Finding the Fourth Proportional to 12,146.10, 16,761.65 and 7,042.64

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Solution

The fourth proportional to 12,146.10, 16,761.65 and 7,042.64 is: 9,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.10 : 16,761.65 = 7,042.64 : x
  2. Step 2: Convert to fraction form
    12,146.10/16,761.65 = 7,042.64/x
  3. Step 3: Cross multiply
    12,146.10x = 16,761.65 × 7,042.64
  4. Step 4: Simplify right side
    12,146.10x = 118,046,147.73
  5. Step 5: Solve for x
    x = 118,046,147.73/12,146.10
  6. Step 6: Final answer
    x = 9,718.85

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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.