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Finding the Fourth Proportional to 7,866.59, 11,799.86 and 2,023.16

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Solution

The fourth proportional to 7,866.59, 11,799.86 and 2,023.16 is: 3,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.59 : 11,799.86 = 2,023.16 : x
  2. Step 2: Convert to fraction form
    7,866.59/11,799.86 = 2,023.16/x
  3. Step 3: Cross multiply
    7,866.59x = 11,799.86 × 2,023.16
  4. Step 4: Simplify right side
    7,866.59x = 23,872,935.64
  5. Step 5: Solve for x
    x = 23,872,935.64/7,866.59
  6. Step 6: Final answer
    x = 3,034.73

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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.