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Finding the Fourth Proportional to 8,359.61, 12,542.66 and 3,431.57

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Solution

The fourth proportional to 8,359.61, 12,542.66 and 3,431.57 is: 5,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.61 : 12,542.66 = 3,431.57 : x
  2. Step 2: Convert to fraction form
    8,359.61/12,542.66 = 3,431.57/x
  3. Step 3: Cross multiply
    8,359.61x = 12,542.66 × 3,431.57
  4. Step 4: Simplify right side
    8,359.61x = 43,041,015.78
  5. Step 5: Solve for x
    x = 43,041,015.78/8,359.61
  6. Step 6: Final answer
    x = 5,148.69

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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.