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Finding the Fourth Proportional to 6,498.96, 8,957.16 and 5,177.04

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Solution

The fourth proportional to 6,498.96, 8,957.16 and 5,177.04 is: 7,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.96 : 8,957.16 = 5,177.04 : x
  2. Step 2: Convert to fraction form
    6,498.96/8,957.16 = 5,177.04/x
  3. Step 3: Cross multiply
    6,498.96x = 8,957.16 × 5,177.04
  4. Step 4: Simplify right side
    6,498.96x = 46,371,575.61
  5. Step 5: Solve for x
    x = 46,371,575.61/6,498.96
  6. Step 6: Final answer
    x = 7,135.23

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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.