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Finding the Fourth Proportional to 10,172.76, 15,233.22 and 4,965

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Solution

The fourth proportional to 10,172.76, 15,233.22 and 4,965 is: 7,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.76 : 15,233.22 = 4,965 : x
  2. Step 2: Convert to fraction form
    10,172.76/15,233.22 = 4,965/x
  3. Step 3: Cross multiply
    10,172.76x = 15,233.22 × 4,965
  4. Step 4: Simplify right side
    10,172.76x = 75,632,937.30
  5. Step 5: Solve for x
    x = 75,632,937.30/10,172.76
  6. Step 6: Final answer
    x = 7,434.85

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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.