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Finding the Fourth Proportional to 10,311.29, 15,468.86 and 4,760.97

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Solution

The fourth proportional to 10,311.29, 15,468.86 and 4,760.97 is: 7,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.29 : 15,468.86 = 4,760.97 : x
  2. Step 2: Convert to fraction form
    10,311.29/15,468.86 = 4,760.97/x
  3. Step 3: Cross multiply
    10,311.29x = 15,468.86 × 4,760.97
  4. Step 4: Simplify right side
    10,311.29x = 73,646,677.25
  5. Step 5: Solve for x
    x = 73,646,677.25/10,311.29
  6. Step 6: Final answer
    x = 7,142.33

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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.