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Finding the Fourth Proportional to 7,261.97, 10,876.64 and 6,312.71

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Solution

The fourth proportional to 7,261.97, 10,876.64 and 6,312.71 is: 9,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.97 : 10,876.64 = 6,312.71 : x
  2. Step 2: Convert to fraction form
    7,261.97/10,876.64 = 6,312.71/x
  3. Step 3: Cross multiply
    7,261.97x = 10,876.64 × 6,312.71
  4. Step 4: Simplify right side
    7,261.97x = 68,660,988.15
  5. Step 5: Solve for x
    x = 68,660,988.15/7,261.97
  6. Step 6: Final answer
    x = 9,454.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.