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Finding the Fourth Proportional to 7,267.58, 10,894.88 and 2,882.04

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Solution

The fourth proportional to 7,267.58, 10,894.88 and 2,882.04 is: 4,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.58 : 10,894.88 = 2,882.04 : x
  2. Step 2: Convert to fraction form
    7,267.58/10,894.88 = 2,882.04/x
  3. Step 3: Cross multiply
    7,267.58x = 10,894.88 × 2,882.04
  4. Step 4: Simplify right side
    7,267.58x = 31,399,465.55
  5. Step 5: Solve for x
    x = 31,399,465.55/7,267.58
  6. Step 6: Final answer
    x = 4,320.49

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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.