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Finding the Fourth Proportional to 8,259.52, 12,382 and 3,061.76

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Solution

The fourth proportional to 8,259.52, 12,382 and 3,061.76 is: 4,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.52 : 12,382 = 3,061.76 : x
  2. Step 2: Convert to fraction form
    8,259.52/12,382 = 3,061.76/x
  3. Step 3: Cross multiply
    8,259.52x = 12,382 × 3,061.76
  4. Step 4: Simplify right side
    8,259.52x = 37,910,712.32
  5. Step 5: Solve for x
    x = 37,910,712.32/8,259.52
  6. Step 6: Final answer
    x = 4,589.94

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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.