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Finding the Fourth Proportional to 10,288.80, 15,449.40 and 5,914.80

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Solution

The fourth proportional to 10,288.80, 15,449.40 and 5,914.80 is: 8,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.80 : 15,449.40 = 5,914.80 : x
  2. Step 2: Convert to fraction form
    10,288.80/15,449.40 = 5,914.80/x
  3. Step 3: Cross multiply
    10,288.80x = 15,449.40 × 5,914.80
  4. Step 4: Simplify right side
    10,288.80x = 91,380,111.12
  5. Step 5: Solve for x
    x = 91,380,111.12/10,288.80
  6. Step 6: Final answer
    x = 8,881.51

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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.