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Finding the Fourth Proportional to 10,193.96, 14,067.80 and 6,160.22

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Solution

The fourth proportional to 10,193.96, 14,067.80 and 6,160.22 is: 8,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.96 : 14,067.80 = 6,160.22 : x
  2. Step 2: Convert to fraction form
    10,193.96/14,067.80 = 6,160.22/x
  3. Step 3: Cross multiply
    10,193.96x = 14,067.80 × 6,160.22
  4. Step 4: Simplify right side
    10,193.96x = 86,660,641.78
  5. Step 5: Solve for x
    x = 86,660,641.78/10,193.96
  6. Step 6: Final answer
    x = 8,501.18

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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.