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Finding the Fourth Proportional to 10,049.50, 13,868.31 and 5,856.94

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Solution

The fourth proportional to 10,049.50, 13,868.31 and 5,856.94 is: 8,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.50 : 13,868.31 = 5,856.94 : x
  2. Step 2: Convert to fraction form
    10,049.50/13,868.31 = 5,856.94/x
  3. Step 3: Cross multiply
    10,049.50x = 13,868.31 × 5,856.94
  4. Step 4: Simplify right side
    10,049.50x = 81,225,859.57
  5. Step 5: Solve for x
    x = 81,225,859.57/10,049.50
  6. Step 6: Final answer
    x = 8,082.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.