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Finding the Fourth Proportional to 7,262.31, 10,894.88 and 2,331.57

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Solution

The fourth proportional to 7,262.31, 10,894.88 and 2,331.57 is: 3,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.31 : 10,894.88 = 2,331.57 : x
  2. Step 2: Convert to fraction form
    7,262.31/10,894.88 = 2,331.57/x
  3. Step 3: Cross multiply
    7,262.31x = 10,894.88 × 2,331.57
  4. Step 4: Simplify right side
    7,262.31x = 25,402,175.36
  5. Step 5: Solve for x
    x = 25,402,175.36/7,262.31
  6. Step 6: Final answer
    x = 3,497.81

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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.