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Finding the Fourth Proportional to 13,087.12, 19,633.92 and 6,160

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Solution

The fourth proportional to 13,087.12, 19,633.92 and 6,160 is: 9,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,087.12 : 19,633.92 = 6,160 : x
  2. Step 2: Convert to fraction form
    13,087.12/19,633.92 = 6,160/x
  3. Step 3: Cross multiply
    13,087.12x = 19,633.92 × 6,160
  4. Step 4: Simplify right side
    13,087.12x = 120,944,947.20
  5. Step 5: Solve for x
    x = 120,944,947.20/13,087.12
  6. Step 6: Final answer
    x = 9,241.53

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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.