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Finding the Fourth Proportional to 10,049.46, 13,867.98 and 5,573.16

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Solution

The fourth proportional to 10,049.46, 13,867.98 and 5,573.16 is: 7,690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.46 : 13,867.98 = 5,573.16 : x
  2. Step 2: Convert to fraction form
    10,049.46/13,867.98 = 5,573.16/x
  3. Step 3: Cross multiply
    10,049.46x = 13,867.98 × 5,573.16
  4. Step 4: Simplify right side
    10,049.46x = 77,288,471.42
  5. Step 5: Solve for x
    x = 77,288,471.42/10,049.46
  6. Step 6: Final answer
    x = 7,690.81

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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.