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Finding the Fourth Proportional to 7,868.76, 11,806.02 and 5,679.96

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Solution

The fourth proportional to 7,868.76, 11,806.02 and 5,679.96 is: 8,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.76 : 11,806.02 = 5,679.96 : x
  2. Step 2: Convert to fraction form
    7,868.76/11,806.02 = 5,679.96/x
  3. Step 3: Cross multiply
    7,868.76x = 11,806.02 × 5,679.96
  4. Step 4: Simplify right side
    7,868.76x = 67,057,721.36
  5. Step 5: Solve for x
    x = 67,057,721.36/7,868.76
  6. Step 6: Final answer
    x = 8,522.02

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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.