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Finding the Fourth Proportional to 10,447.50, 15,677.73 and 6,067.02

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Solution

The fourth proportional to 10,447.50, 15,677.73 and 6,067.02 is: 9,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.50 : 15,677.73 = 6,067.02 : x
  2. Step 2: Convert to fraction form
    10,447.50/15,677.73 = 6,067.02/x
  3. Step 3: Cross multiply
    10,447.50x = 15,677.73 × 6,067.02
  4. Step 4: Simplify right side
    10,447.50x = 95,117,101.46
  5. Step 5: Solve for x
    x = 95,117,101.46/10,447.50
  6. Step 6: Final answer
    x = 9,104.29

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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.