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Finding the Fourth Proportional to 8,086.80, 11,160 and 5,957.04

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Solution

The fourth proportional to 8,086.80, 11,160 and 5,957.04 is: 8,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.80 : 11,160 = 5,957.04 : x
  2. Step 2: Convert to fraction form
    8,086.80/11,160 = 5,957.04/x
  3. Step 3: Cross multiply
    8,086.80x = 11,160 × 5,957.04
  4. Step 4: Simplify right side
    8,086.80x = 66,480,566.40
  5. Step 5: Solve for x
    x = 66,480,566.40/8,086.80
  6. Step 6: Final answer
    x = 8,220.87

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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.