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Finding the Fourth Proportional to 7,868.59, 11,802.87 and 2,325.82

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Solution

The fourth proportional to 7,868.59, 11,802.87 and 2,325.82 is: 3,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.59 : 11,802.87 = 2,325.82 : x
  2. Step 2: Convert to fraction form
    7,868.59/11,802.87 = 2,325.82/x
  3. Step 3: Cross multiply
    7,868.59x = 11,802.87 × 2,325.82
  4. Step 4: Simplify right side
    7,868.59x = 27,451,351.10
  5. Step 5: Solve for x
    x = 27,451,351.10/7,868.59
  6. Step 6: Final answer
    x = 3,488.73

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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.