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Finding the Fourth Proportional to 10,264.25, 14,163.45 and 5,787.72

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Solution

The fourth proportional to 10,264.25, 14,163.45 and 5,787.72 is: 7,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.25 : 14,163.45 = 5,787.72 : x
  2. Step 2: Convert to fraction form
    10,264.25/14,163.45 = 5,787.72/x
  3. Step 3: Cross multiply
    10,264.25x = 14,163.45 × 5,787.72
  4. Step 4: Simplify right side
    10,264.25x = 81,974,082.83
  5. Step 5: Solve for x
    x = 81,974,082.83/10,264.25
  6. Step 6: Final answer
    x = 7,986.37

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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.