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Finding the Fourth Proportional to 8,159.40, 12,229.92 and 4,866.48

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Solution

The fourth proportional to 8,159.40, 12,229.92 and 4,866.48 is: 7,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.40 : 12,229.92 = 4,866.48 : x
  2. Step 2: Convert to fraction form
    8,159.40/12,229.92 = 4,866.48/x
  3. Step 3: Cross multiply
    8,159.40x = 12,229.92 × 4,866.48
  4. Step 4: Simplify right side
    8,159.40x = 59,516,661.08
  5. Step 5: Solve for x
    x = 59,516,661.08/8,159.40
  6. Step 6: Final answer
    x = 7,294.24

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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.