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Finding the Fourth Proportional to 10,061.77, 15,082.61 and 5,048.83

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Solution

The fourth proportional to 10,061.77, 15,082.61 and 5,048.83 is: 7,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.77 : 15,082.61 = 5,048.83 : x
  2. Step 2: Convert to fraction form
    10,061.77/15,082.61 = 5,048.83/x
  3. Step 3: Cross multiply
    10,061.77x = 15,082.61 × 5,048.83
  4. Step 4: Simplify right side
    10,061.77x = 76,149,533.85
  5. Step 5: Solve for x
    x = 76,149,533.85/10,061.77
  6. Step 6: Final answer
    x = 7,568.20

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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.