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Finding the Fourth Proportional to 8,259.32, 12,387.43 and 3,816.80

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Solution

The fourth proportional to 8,259.32, 12,387.43 and 3,816.80 is: 5,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.32 : 12,387.43 = 3,816.80 : x
  2. Step 2: Convert to fraction form
    8,259.32/12,387.43 = 3,816.80/x
  3. Step 3: Cross multiply
    8,259.32x = 12,387.43 × 3,816.80
  4. Step 4: Simplify right side
    8,259.32x = 47,280,342.82
  5. Step 5: Solve for x
    x = 47,280,342.82/8,259.32
  6. Step 6: Final answer
    x = 5,724.48

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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.