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Finding the Fourth Proportional to 7,867.80, 11,801.68 and 2,023.92

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Solution

The fourth proportional to 7,867.80, 11,801.68 and 2,023.92 is: 3,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.80 : 11,801.68 = 2,023.92 : x
  2. Step 2: Convert to fraction form
    7,867.80/11,801.68 = 2,023.92/x
  3. Step 3: Cross multiply
    7,867.80x = 11,801.68 × 2,023.92
  4. Step 4: Simplify right side
    7,867.80x = 23,885,656.19
  5. Step 5: Solve for x
    x = 23,885,656.19/7,867.80
  6. Step 6: Final answer
    x = 3,035.87

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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.