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Finding the Fourth Proportional to 10,049.47, 13,867.71 and 5,572.90

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Solution

The fourth proportional to 10,049.47, 13,867.71 and 5,572.90 is: 7,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.47 : 13,867.71 = 5,572.90 : x
  2. Step 2: Convert to fraction form
    10,049.47/13,867.71 = 5,572.90/x
  3. Step 3: Cross multiply
    10,049.47x = 13,867.71 × 5,572.90
  4. Step 4: Simplify right side
    10,049.47x = 77,283,357.50
  5. Step 5: Solve for x
    x = 77,283,357.50/10,049.47
  6. Step 6: Final answer
    x = 7,690.29

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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.