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Finding the Fourth Proportional to 7,866.50, 11,799.72 and 2,023.11

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Solution

The fourth proportional to 7,866.50, 11,799.72 and 2,023.11 is: 3,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.50 : 11,799.72 = 2,023.11 : x
  2. Step 2: Convert to fraction form
    7,866.50/11,799.72 = 2,023.11/x
  3. Step 3: Cross multiply
    7,866.50x = 11,799.72 × 2,023.11
  4. Step 4: Simplify right side
    7,866.50x = 23,872,131.53
  5. Step 5: Solve for x
    x = 23,872,131.53/7,866.50
  6. Step 6: Final answer
    x = 3,034.66

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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.