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Finding the Fourth Proportional to 7,454.94, 11,182.50 and 4,527.42

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Solution

The fourth proportional to 7,454.94, 11,182.50 and 4,527.42 is: 6,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.94 : 11,182.50 = 4,527.42 : x
  2. Step 2: Convert to fraction form
    7,454.94/11,182.50 = 4,527.42/x
  3. Step 3: Cross multiply
    7,454.94x = 11,182.50 × 4,527.42
  4. Step 4: Simplify right side
    7,454.94x = 50,627,874.15
  5. Step 5: Solve for x
    x = 50,627,874.15/7,454.94
  6. Step 6: Final answer
    x = 6,791.18

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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.