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Finding the Fourth Proportional to 10,884.42, 15,019.86 and 6,168.60

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Solution

The fourth proportional to 10,884.42, 15,019.86 and 6,168.60 is: 8,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.42 : 15,019.86 = 6,168.60 : x
  2. Step 2: Convert to fraction form
    10,884.42/15,019.86 = 6,168.60/x
  3. Step 3: Cross multiply
    10,884.42x = 15,019.86 × 6,168.60
  4. Step 4: Simplify right side
    10,884.42x = 92,651,508.40
  5. Step 5: Solve for x
    x = 92,651,508.40/10,884.42
  6. Step 6: Final answer
    x = 8,512.31

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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.