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Finding the Fourth Proportional to 10,254.93, 15,381.68 and 5,858.61

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Solution

The fourth proportional to 10,254.93, 15,381.68 and 5,858.61 is: 8,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.93 : 15,381.68 = 5,858.61 : x
  2. Step 2: Convert to fraction form
    10,254.93/15,381.68 = 5,858.61/x
  3. Step 3: Cross multiply
    10,254.93x = 15,381.68 × 5,858.61
  4. Step 4: Simplify right side
    10,254.93x = 90,115,234.97
  5. Step 5: Solve for x
    x = 90,115,234.97/10,254.93
  6. Step 6: Final answer
    x = 8,787.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.