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Finding the Fourth Proportional to 10,077.38, 15,048.16 and 8,232.14

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Solution

The fourth proportional to 10,077.38, 15,048.16 and 8,232.14 is: 12,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.38 : 15,048.16 = 8,232.14 : x
  2. Step 2: Convert to fraction form
    10,077.38/15,048.16 = 8,232.14/x
  3. Step 3: Cross multiply
    10,077.38x = 15,048.16 × 8,232.14
  4. Step 4: Simplify right side
    10,077.38x = 123,878,559.86
  5. Step 5: Solve for x
    x = 123,878,559.86/10,077.38
  6. Step 6: Final answer
    x = 12,292.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.