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Finding the Fourth Proportional to 10,255.43, 15,382.43 and 5,859.11

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Solution

The fourth proportional to 10,255.43, 15,382.43 and 5,859.11 is: 8,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.43 : 15,382.43 = 5,859.11 : x
  2. Step 2: Convert to fraction form
    10,255.43/15,382.43 = 5,859.11/x
  3. Step 3: Cross multiply
    10,255.43x = 15,382.43 × 5,859.11
  4. Step 4: Simplify right side
    10,255.43x = 90,127,320.14
  5. Step 5: Solve for x
    x = 90,127,320.14/10,255.43
  6. Step 6: Final answer
    x = 8,788.25

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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.