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Finding the Fourth Proportional to 10,508.41, 15,760.88 and 4,268.17

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Solution

The fourth proportional to 10,508.41, 15,760.88 and 4,268.17 is: 6,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.41 : 15,760.88 = 4,268.17 : x
  2. Step 2: Convert to fraction form
    10,508.41/15,760.88 = 4,268.17/x
  3. Step 3: Cross multiply
    10,508.41x = 15,760.88 × 4,268.17
  4. Step 4: Simplify right side
    10,508.41x = 67,270,115.19
  5. Step 5: Solve for x
    x = 67,270,115.19/10,508.41
  6. Step 6: Final answer
    x = 6,401.55

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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.