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Finding the Fourth Proportional to 11,077.49, 15,286.74 and 6,041.75

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Solution

The fourth proportional to 11,077.49, 15,286.74 and 6,041.75 is: 8,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.49 : 15,286.74 = 6,041.75 : x
  2. Step 2: Convert to fraction form
    11,077.49/15,286.74 = 6,041.75/x
  3. Step 3: Cross multiply
    11,077.49x = 15,286.74 × 6,041.75
  4. Step 4: Simplify right side
    11,077.49x = 92,358,584.96
  5. Step 5: Solve for x
    x = 92,358,584.96/11,077.49
  6. Step 6: Final answer
    x = 8,337.50

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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.