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Finding the Fourth Proportional to 11,077.14, 15,286.23 and 6,041.40

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Solution

The fourth proportional to 11,077.14, 15,286.23 and 6,041.40 is: 8,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.14 : 15,286.23 = 6,041.40 : x
  2. Step 2: Convert to fraction form
    11,077.14/15,286.23 = 6,041.40/x
  3. Step 3: Cross multiply
    11,077.14x = 15,286.23 × 6,041.40
  4. Step 4: Simplify right side
    11,077.14x = 92,350,229.92
  5. Step 5: Solve for x
    x = 92,350,229.92/11,077.14
  6. Step 6: Final answer
    x = 8,337.01

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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.