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Finding the Fourth Proportional to 7,883.31, 11,825.64 and 2,261

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Solution

The fourth proportional to 7,883.31, 11,825.64 and 2,261 is: 3,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.31 : 11,825.64 = 2,261 : x
  2. Step 2: Convert to fraction form
    7,883.31/11,825.64 = 2,261/x
  3. Step 3: Cross multiply
    7,883.31x = 11,825.64 × 2,261
  4. Step 4: Simplify right side
    7,883.31x = 26,737,772.04
  5. Step 5: Solve for x
    x = 26,737,772.04/7,883.31
  6. Step 6: Final answer
    x = 3,391.70

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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.