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Finding the Fourth Proportional to 10,264.49, 15,396.17 and 4,025.61

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Solution

The fourth proportional to 10,264.49, 15,396.17 and 4,025.61 is: 6,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.49 : 15,396.17 = 4,025.61 : x
  2. Step 2: Convert to fraction form
    10,264.49/15,396.17 = 4,025.61/x
  3. Step 3: Cross multiply
    10,264.49x = 15,396.17 × 4,025.61
  4. Step 4: Simplify right side
    10,264.49x = 61,978,975.91
  5. Step 5: Solve for x
    x = 61,978,975.91/10,264.49
  6. Step 6: Final answer
    x = 6,038.19

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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.