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Finding the Fourth Proportional to 10,026.71, 15,067.30 and 5,349.97

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Solution

The fourth proportional to 10,026.71, 15,067.30 and 5,349.97 is: 8,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.71 : 15,067.30 = 5,349.97 : x
  2. Step 2: Convert to fraction form
    10,026.71/15,067.30 = 5,349.97/x
  3. Step 3: Cross multiply
    10,026.71x = 15,067.30 × 5,349.97
  4. Step 4: Simplify right side
    10,026.71x = 80,609,602.98
  5. Step 5: Solve for x
    x = 80,609,602.98/10,026.71
  6. Step 6: Final answer
    x = 8,039.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.