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Finding the Fourth Proportional to 10,405.80, 15,584.04 and 5,965.88

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Solution

The fourth proportional to 10,405.80, 15,584.04 and 5,965.88 is: 8,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.80 : 15,584.04 = 5,965.88 : x
  2. Step 2: Convert to fraction form
    10,405.80/15,584.04 = 5,965.88/x
  3. Step 3: Cross multiply
    10,405.80x = 15,584.04 × 5,965.88
  4. Step 4: Simplify right side
    10,405.80x = 92,972,473.60
  5. Step 5: Solve for x
    x = 92,972,473.60/10,405.80
  6. Step 6: Final answer
    x = 8,934.68

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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.