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Finding the Fourth Proportional to 8,411.25, 12,615.24 and 2,864.55

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Solution

The fourth proportional to 8,411.25, 12,615.24 and 2,864.55 is: 4,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.25 : 12,615.24 = 2,864.55 : x
  2. Step 2: Convert to fraction form
    8,411.25/12,615.24 = 2,864.55/x
  3. Step 3: Cross multiply
    8,411.25x = 12,615.24 × 2,864.55
  4. Step 4: Simplify right side
    8,411.25x = 36,136,985.74
  5. Step 5: Solve for x
    x = 36,136,985.74/8,411.25
  6. Step 6: Final answer
    x = 4,296.27

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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.