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Finding the Fourth Proportional to 7,874.80, 10,867.36 and 4,338

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Solution

The fourth proportional to 7,874.80, 10,867.36 and 4,338 is: 5,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.80 : 10,867.36 = 4,338 : x
  2. Step 2: Convert to fraction form
    7,874.80/10,867.36 = 4,338/x
  3. Step 3: Cross multiply
    7,874.80x = 10,867.36 × 4,338
  4. Step 4: Simplify right side
    7,874.80x = 47,142,607.68
  5. Step 5: Solve for x
    x = 47,142,607.68/7,874.80
  6. Step 6: Final answer
    x = 5,986.51

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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.