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Finding the Fourth Proportional to 10,264.32, 15,398.40 and 4,108.80

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Solution

The fourth proportional to 10,264.32, 15,398.40 and 4,108.80 is: 6,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.32 : 15,398.40 = 4,108.80 : x
  2. Step 2: Convert to fraction form
    10,264.32/15,398.40 = 4,108.80/x
  3. Step 3: Cross multiply
    10,264.32x = 15,398.40 × 4,108.80
  4. Step 4: Simplify right side
    10,264.32x = 63,268,945.92
  5. Step 5: Solve for x
    x = 63,268,945.92/10,264.32
  6. Step 6: Final answer
    x = 6,163.97

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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.