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Finding the Fourth Proportional to 7,882.76, 11,821.62 and 2,689.40

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Solution

The fourth proportional to 7,882.76, 11,821.62 and 2,689.40 is: 4,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.76 : 11,821.62 = 2,689.40 : x
  2. Step 2: Convert to fraction form
    7,882.76/11,821.62 = 2,689.40/x
  3. Step 3: Cross multiply
    7,882.76x = 11,821.62 × 2,689.40
  4. Step 4: Simplify right side
    7,882.76x = 31,793,064.83
  5. Step 5: Solve for x
    x = 31,793,064.83/7,882.76
  6. Step 6: Final answer
    x = 4,033.24

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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.