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Finding the Fourth Proportional to 10,188.96, 15,287.31 and 5,255.46

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Solution

The fourth proportional to 10,188.96, 15,287.31 and 5,255.46 is: 7,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.96 : 15,287.31 = 5,255.46 : x
  2. Step 2: Convert to fraction form
    10,188.96/15,287.31 = 5,255.46/x
  3. Step 3: Cross multiply
    10,188.96x = 15,287.31 × 5,255.46
  4. Step 4: Simplify right side
    10,188.96x = 80,341,846.21
  5. Step 5: Solve for x
    x = 80,341,846.21/10,188.96
  6. Step 6: Final answer
    x = 7,885.19

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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.