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Finding the Fourth Proportional to 11,901.68, 17,855.02 and 3,582.31

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Solution

The fourth proportional to 11,901.68, 17,855.02 and 3,582.31 is: 5,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.68 : 17,855.02 = 3,582.31 : x
  2. Step 2: Convert to fraction form
    11,901.68/17,855.02 = 3,582.31/x
  3. Step 3: Cross multiply
    11,901.68x = 17,855.02 × 3,582.31
  4. Step 4: Simplify right side
    11,901.68x = 63,962,181.01
  5. Step 5: Solve for x
    x = 63,962,181.01/11,901.68
  6. Step 6: Final answer
    x = 5,374.21

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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.