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Finding the Fourth Proportional to 6,498.90, 8,963.01 and 5,005.14

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Solution

The fourth proportional to 6,498.90, 8,963.01 and 5,005.14 is: 6,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.90 : 8,963.01 = 5,005.14 : x
  2. Step 2: Convert to fraction form
    6,498.90/8,963.01 = 5,005.14/x
  3. Step 3: Cross multiply
    6,498.90x = 8,963.01 × 5,005.14
  4. Step 4: Simplify right side
    6,498.90x = 44,861,119.87
  5. Step 5: Solve for x
    x = 44,861,119.87/6,498.90
  6. Step 6: Final answer
    x = 6,902.88

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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.