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Finding the Fourth Proportional to 10,049.59, 13,868.31 and 5,573.40

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Solution

The fourth proportional to 10,049.59, 13,868.31 and 5,573.40 is: 7,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.59 : 13,868.31 = 5,573.40 : x
  2. Step 2: Convert to fraction form
    10,049.59/13,868.31 = 5,573.40/x
  3. Step 3: Cross multiply
    10,049.59x = 13,868.31 × 5,573.40
  4. Step 4: Simplify right side
    10,049.59x = 77,293,638.95
  5. Step 5: Solve for x
    x = 77,293,638.95/10,049.59
  6. Step 6: Final answer
    x = 7,691.22

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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.