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Finding the Fourth Proportional to 7,712.46, 10,635.74 and 6,517.46

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Solution

The fourth proportional to 7,712.46, 10,635.74 and 6,517.46 is: 8,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.46 : 10,635.74 = 6,517.46 : x
  2. Step 2: Convert to fraction form
    7,712.46/10,635.74 = 6,517.46/x
  3. Step 3: Cross multiply
    7,712.46x = 10,635.74 × 6,517.46
  4. Step 4: Simplify right side
    7,712.46x = 69,318,052.90
  5. Step 5: Solve for x
    x = 69,318,052.90/7,712.46
  6. Step 6: Final answer
    x = 8,987.80

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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.