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Finding the Fourth Proportional to 10,082.72, 15,133.44 and 5,155.88

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Solution

The fourth proportional to 10,082.72, 15,133.44 and 5,155.88 is: 7,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.72 : 15,133.44 = 5,155.88 : x
  2. Step 2: Convert to fraction form
    10,082.72/15,133.44 = 5,155.88/x
  3. Step 3: Cross multiply
    10,082.72x = 15,133.44 × 5,155.88
  4. Step 4: Simplify right side
    10,082.72x = 78,026,200.63
  5. Step 5: Solve for x
    x = 78,026,200.63/10,082.72
  6. Step 6: Final answer
    x = 7,738.61

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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.