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Finding the Fourth Proportional to 11,077.46, 15,286.93 and 6,041.76

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Solution

The fourth proportional to 11,077.46, 15,286.93 and 6,041.76 is: 8,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.46 : 15,286.93 = 6,041.76 : x
  2. Step 2: Convert to fraction form
    11,077.46/15,286.93 = 6,041.76/x
  3. Step 3: Cross multiply
    11,077.46x = 15,286.93 × 6,041.76
  4. Step 4: Simplify right side
    11,077.46x = 92,360,018.75
  5. Step 5: Solve for x
    x = 92,360,018.75/11,077.46
  6. Step 6: Final answer
    x = 8,337.65

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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.