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Finding the Fourth Proportional to 8,180.64, 12,265.29 and 4,287.78

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Solution

The fourth proportional to 8,180.64, 12,265.29 and 4,287.78 is: 6,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.64 : 12,265.29 = 4,287.78 : x
  2. Step 2: Convert to fraction form
    8,180.64/12,265.29 = 4,287.78/x
  3. Step 3: Cross multiply
    8,180.64x = 12,265.29 × 4,287.78
  4. Step 4: Simplify right side
    8,180.64x = 52,590,865.16
  5. Step 5: Solve for x
    x = 52,590,865.16/8,180.64
  6. Step 6: Final answer
    x = 6,428.70

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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.