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Finding the Fourth Proportional to 7,862.32, 11,799.41 and 4,165.37

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Solution

The fourth proportional to 7,862.32, 11,799.41 and 4,165.37 is: 6,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.32 : 11,799.41 = 4,165.37 : x
  2. Step 2: Convert to fraction form
    7,862.32/11,799.41 = 4,165.37/x
  3. Step 3: Cross multiply
    7,862.32x = 11,799.41 × 4,165.37
  4. Step 4: Simplify right side
    7,862.32x = 49,148,939.23
  5. Step 5: Solve for x
    x = 49,148,939.23/7,862.32
  6. Step 6: Final answer
    x = 6,251.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.