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Finding the Fourth Proportional to 12,291.52, 16,959.72 and 7,813.64

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Solution

The fourth proportional to 12,291.52, 16,959.72 and 7,813.64 is: 10,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.52 : 16,959.72 = 7,813.64 : x
  2. Step 2: Convert to fraction form
    12,291.52/16,959.72 = 7,813.64/x
  3. Step 3: Cross multiply
    12,291.52x = 16,959.72 × 7,813.64
  4. Step 4: Simplify right side
    12,291.52x = 132,517,146.58
  5. Step 5: Solve for x
    x = 132,517,146.58/12,291.52
  6. Step 6: Final answer
    x = 10,781.18

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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.