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Finding the Fourth Proportional to 7,364.19, 11,049.62 and 6,741.27

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Solution

The fourth proportional to 7,364.19, 11,049.62 and 6,741.27 is: 10,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.19 : 11,049.62 = 6,741.27 : x
  2. Step 2: Convert to fraction form
    7,364.19/11,049.62 = 6,741.27/x
  3. Step 3: Cross multiply
    7,364.19x = 11,049.62 × 6,741.27
  4. Step 4: Simplify right side
    7,364.19x = 74,488,438.11
  5. Step 5: Solve for x
    x = 74,488,438.11/7,364.19
  6. Step 6: Final answer
    x = 10,114.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.