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Finding the Fourth Proportional to 7,253.12, 10,874.88 and 2,636.16

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Solution

The fourth proportional to 7,253.12, 10,874.88 and 2,636.16 is: 3,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.12 : 10,874.88 = 2,636.16 : x
  2. Step 2: Convert to fraction form
    7,253.12/10,874.88 = 2,636.16/x
  3. Step 3: Cross multiply
    7,253.12x = 10,874.88 × 2,636.16
  4. Step 4: Simplify right side
    7,253.12x = 28,667,923.66
  5. Step 5: Solve for x
    x = 28,667,923.66/7,253.12
  6. Step 6: Final answer
    x = 3,952.50

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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.