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Finding the Fourth Proportional to 10,049.81, 13,867.80 and 5,573.48

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Solution

The fourth proportional to 10,049.81, 13,867.80 and 5,573.48 is: 7,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.81 : 13,867.80 = 5,573.48 : x
  2. Step 2: Convert to fraction form
    10,049.81/13,867.80 = 5,573.48/x
  3. Step 3: Cross multiply
    10,049.81x = 13,867.80 × 5,573.48
  4. Step 4: Simplify right side
    10,049.81x = 77,291,836.61
  5. Step 5: Solve for x
    x = 77,291,836.61/10,049.81
  6. Step 6: Final answer
    x = 7,690.88

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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.