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Finding the Fourth Proportional to 11,900.32, 17,854.80 and 4,109.92

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Solution

The fourth proportional to 11,900.32, 17,854.80 and 4,109.92 is: 6,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.32 : 17,854.80 = 4,109.92 : x
  2. Step 2: Convert to fraction form
    11,900.32/17,854.80 = 4,109.92/x
  3. Step 3: Cross multiply
    11,900.32x = 17,854.80 × 4,109.92
  4. Step 4: Simplify right side
    11,900.32x = 73,381,799.62
  5. Step 5: Solve for x
    x = 73,381,799.62/11,900.32
  6. Step 6: Final answer
    x = 6,166.37

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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.