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Finding the Fourth Proportional to 10,115.64, 13,967.10 and 6,142.12

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Solution

The fourth proportional to 10,115.64, 13,967.10 and 6,142.12 is: 8,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.64 : 13,967.10 = 6,142.12 : x
  2. Step 2: Convert to fraction form
    10,115.64/13,967.10 = 6,142.12/x
  3. Step 3: Cross multiply
    10,115.64x = 13,967.10 × 6,142.12
  4. Step 4: Simplify right side
    10,115.64x = 85,787,569.33
  5. Step 5: Solve for x
    x = 85,787,569.33/10,115.64
  6. Step 6: Final answer
    x = 8,480.69

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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.