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Finding the Fourth Proportional to 10,255.68, 15,382.80 and 5,859.36

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Solution

The fourth proportional to 10,255.68, 15,382.80 and 5,859.36 is: 8,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.68 : 15,382.80 = 5,859.36 : x
  2. Step 2: Convert to fraction form
    10,255.68/15,382.80 = 5,859.36/x
  3. Step 3: Cross multiply
    10,255.68x = 15,382.80 × 5,859.36
  4. Step 4: Simplify right side
    10,255.68x = 90,133,363.01
  5. Step 5: Solve for x
    x = 90,133,363.01/10,255.68
  6. Step 6: Final answer
    x = 8,788.63

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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.