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Finding the Fourth Proportional to 7,801.64, 10,766.43 and 4,265.18

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Solution

The fourth proportional to 7,801.64, 10,766.43 and 4,265.18 is: 5,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.64 : 10,766.43 = 4,265.18 : x
  2. Step 2: Convert to fraction form
    7,801.64/10,766.43 = 4,265.18/x
  3. Step 3: Cross multiply
    7,801.64x = 10,766.43 × 4,265.18
  4. Step 4: Simplify right side
    7,801.64x = 45,920,761.91
  5. Step 5: Solve for x
    x = 45,920,761.91/7,801.64
  6. Step 6: Final answer
    x = 5,886.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.