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Finding the Fourth Proportional to 8,684.64, 13,001.36 and 5,387.12

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Solution

The fourth proportional to 8,684.64, 13,001.36 and 5,387.12 is: 8,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.64 : 13,001.36 = 5,387.12 : x
  2. Step 2: Convert to fraction form
    8,684.64/13,001.36 = 5,387.12/x
  3. Step 3: Cross multiply
    8,684.64x = 13,001.36 × 5,387.12
  4. Step 4: Simplify right side
    8,684.64x = 70,039,886.48
  5. Step 5: Solve for x
    x = 70,039,886.48/8,684.64
  6. Step 6: Final answer
    x = 8,064.80

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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.