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Finding the Fourth Proportional to 7,267.20, 10,893 and 2,878.56

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Solution

The fourth proportional to 7,267.20, 10,893 and 2,878.56 is: 4,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.20 : 10,893 = 2,878.56 : x
  2. Step 2: Convert to fraction form
    7,267.20/10,893 = 2,878.56/x
  3. Step 3: Cross multiply
    7,267.20x = 10,893 × 2,878.56
  4. Step 4: Simplify right side
    7,267.20x = 31,356,154.08
  5. Step 5: Solve for x
    x = 31,356,154.08/7,267.20
  6. Step 6: Final answer
    x = 4,314.75

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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.