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Finding the Fourth Proportional to 6,587.28, 9,086.04 and 4,494.24

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Solution

The fourth proportional to 6,587.28, 9,086.04 and 4,494.24 is: 6,199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.28 : 9,086.04 = 4,494.24 : x
  2. Step 2: Convert to fraction form
    6,587.28/9,086.04 = 4,494.24/x
  3. Step 3: Cross multiply
    6,587.28x = 9,086.04 × 4,494.24
  4. Step 4: Simplify right side
    6,587.28x = 40,834,844.41
  5. Step 5: Solve for x
    x = 40,834,844.41/6,587.28
  6. Step 6: Final answer
    x = 6,199.04

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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.