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Finding the Fourth Proportional to 7,091.52, 10,642.12 and 2,474.52

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Solution

The fourth proportional to 7,091.52, 10,642.12 and 2,474.52 is: 3,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.52 : 10,642.12 = 2,474.52 : x
  2. Step 2: Convert to fraction form
    7,091.52/10,642.12 = 2,474.52/x
  3. Step 3: Cross multiply
    7,091.52x = 10,642.12 × 2,474.52
  4. Step 4: Simplify right side
    7,091.52x = 26,334,138.78
  5. Step 5: Solve for x
    x = 26,334,138.78/7,091.52
  6. Step 6: Final answer
    x = 3,713.47

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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.