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Finding the Fourth Proportional to 11,677.64, 17,520.98 and 4,287.20

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Solution

The fourth proportional to 11,677.64, 17,520.98 and 4,287.20 is: 6,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.64 : 17,520.98 = 4,287.20 : x
  2. Step 2: Convert to fraction form
    11,677.64/17,520.98 = 4,287.20/x
  3. Step 3: Cross multiply
    11,677.64x = 17,520.98 × 4,287.20
  4. Step 4: Simplify right side
    11,677.64x = 75,115,836.42
  5. Step 5: Solve for x
    x = 75,115,836.42/11,677.64
  6. Step 6: Final answer
    x = 6,432.45

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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.