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Finding the Fourth Proportional to 7,209.38, 10,815.70 and 2,279.32

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Solution

The fourth proportional to 7,209.38, 10,815.70 and 2,279.32 is: 3,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.38 : 10,815.70 = 2,279.32 : x
  2. Step 2: Convert to fraction form
    7,209.38/10,815.70 = 2,279.32/x
  3. Step 3: Cross multiply
    7,209.38x = 10,815.70 × 2,279.32
  4. Step 4: Simplify right side
    7,209.38x = 24,652,441.32
  5. Step 5: Solve for x
    x = 24,652,441.32/7,209.38
  6. Step 6: Final answer
    x = 3,419.50

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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.