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Finding the Fourth Proportional to 7,276.42, 10,040.92 and 4,132

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Solution

The fourth proportional to 7,276.42, 10,040.92 and 4,132 is: 5,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.42 : 10,040.92 = 4,132 : x
  2. Step 2: Convert to fraction form
    7,276.42/10,040.92 = 4,132/x
  3. Step 3: Cross multiply
    7,276.42x = 10,040.92 × 4,132
  4. Step 4: Simplify right side
    7,276.42x = 41,489,081.44
  5. Step 5: Solve for x
    x = 41,489,081.44/7,276.42
  6. Step 6: Final answer
    x = 5,701.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.