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Finding the Fourth Proportional to 7,261.98, 10,891.14 and 2,332.14

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Solution

The fourth proportional to 7,261.98, 10,891.14 and 2,332.14 is: 3,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.98 : 10,891.14 = 2,332.14 : x
  2. Step 2: Convert to fraction form
    7,261.98/10,891.14 = 2,332.14/x
  3. Step 3: Cross multiply
    7,261.98x = 10,891.14 × 2,332.14
  4. Step 4: Simplify right side
    7,261.98x = 25,399,663.24
  5. Step 5: Solve for x
    x = 25,399,663.24/7,261.98
  6. Step 6: Final answer
    x = 3,497.62

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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.