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Finding the Fourth Proportional to 8,335.74, 12,505.77 and 3,141.66

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Solution

The fourth proportional to 8,335.74, 12,505.77 and 3,141.66 is: 4,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.74 : 12,505.77 = 3,141.66 : x
  2. Step 2: Convert to fraction form
    8,335.74/12,505.77 = 3,141.66/x
  3. Step 3: Cross multiply
    8,335.74x = 12,505.77 × 3,141.66
  4. Step 4: Simplify right side
    8,335.74x = 39,288,877.38
  5. Step 5: Solve for x
    x = 39,288,877.38/8,335.74
  6. Step 6: Final answer
    x = 4,713.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.