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Finding the Fourth Proportional to 10,147.18, 13,998.94 and 6,167.66

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Solution

The fourth proportional to 10,147.18, 13,998.94 and 6,167.66 is: 8,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.18 : 13,998.94 = 6,167.66 : x
  2. Step 2: Convert to fraction form
    10,147.18/13,998.94 = 6,167.66/x
  3. Step 3: Cross multiply
    10,147.18x = 13,998.94 × 6,167.66
  4. Step 4: Simplify right side
    10,147.18x = 86,340,702.28
  5. Step 5: Solve for x
    x = 86,340,702.28/10,147.18
  6. Step 6: Final answer
    x = 8,508.84

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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.