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Finding the Fourth Proportional to 8,500.98, 11,731.87 and 4,724.17

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Solution

The fourth proportional to 8,500.98, 11,731.87 and 4,724.17 is: 6,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.98 : 11,731.87 = 4,724.17 : x
  2. Step 2: Convert to fraction form
    8,500.98/11,731.87 = 4,724.17/x
  3. Step 3: Cross multiply
    8,500.98x = 11,731.87 × 4,724.17
  4. Step 4: Simplify right side
    8,500.98x = 55,423,348.30
  5. Step 5: Solve for x
    x = 55,423,348.30/8,500.98
  6. Step 6: Final answer
    x = 6,519.64

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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.