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Finding the Fourth Proportional to 8,411.34, 12,615.26 and 2,864.64

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Solution

The fourth proportional to 8,411.34, 12,615.26 and 2,864.64 is: 4,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.34 : 12,615.26 = 2,864.64 : x
  2. Step 2: Convert to fraction form
    8,411.34/12,615.26 = 2,864.64/x
  3. Step 3: Cross multiply
    8,411.34x = 12,615.26 × 2,864.64
  4. Step 4: Simplify right side
    8,411.34x = 36,138,164.08
  5. Step 5: Solve for x
    x = 36,138,164.08/8,411.34
  6. Step 6: Final answer
    x = 4,296.36

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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.