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Finding the Fourth Proportional to 10,994.40, 15,171.98 and 6,149.18

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Solution

The fourth proportional to 10,994.40, 15,171.98 and 6,149.18 is: 8,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.40 : 15,171.98 = 6,149.18 : x
  2. Step 2: Convert to fraction form
    10,994.40/15,171.98 = 6,149.18/x
  3. Step 3: Cross multiply
    10,994.40x = 15,171.98 × 6,149.18
  4. Step 4: Simplify right side
    10,994.40x = 93,295,243.16
  5. Step 5: Solve for x
    x = 93,295,243.16/10,994.40
  6. Step 6: Final answer
    x = 8,485.71

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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.