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Finding the Fourth Proportional to 7,862.70, 11,794.05 and 2,019.32

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Solution

The fourth proportional to 7,862.70, 11,794.05 and 2,019.32 is: 3,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.70 : 11,794.05 = 2,019.32 : x
  2. Step 2: Convert to fraction form
    7,862.70/11,794.05 = 2,019.32/x
  3. Step 3: Cross multiply
    7,862.70x = 11,794.05 × 2,019.32
  4. Step 4: Simplify right side
    7,862.70x = 23,815,929.87
  5. Step 5: Solve for x
    x = 23,815,929.87/7,862.70
  6. Step 6: Final answer
    x = 3,028.98

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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.