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Finding the Fourth Proportional to 8,032.73, 12,043.13 and 3,868.83

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Solution

The fourth proportional to 8,032.73, 12,043.13 and 3,868.83 is: 5,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.73 : 12,043.13 = 3,868.83 : x
  2. Step 2: Convert to fraction form
    8,032.73/12,043.13 = 3,868.83/x
  3. Step 3: Cross multiply
    8,032.73x = 12,043.13 × 3,868.83
  4. Step 4: Simplify right side
    8,032.73x = 46,592,803.29
  5. Step 5: Solve for x
    x = 46,592,803.29/8,032.73
  6. Step 6: Final answer
    x = 5,800.37

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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.