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Finding the Fourth Proportional to 10,469.20, 15,677.88 and 5,842.48

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Solution

The fourth proportional to 10,469.20, 15,677.88 and 5,842.48 is: 8,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.20 : 15,677.88 = 5,842.48 : x
  2. Step 2: Convert to fraction form
    10,469.20/15,677.88 = 5,842.48/x
  3. Step 3: Cross multiply
    10,469.20x = 15,677.88 × 5,842.48
  4. Step 4: Simplify right side
    10,469.20x = 91,597,700.34
  5. Step 5: Solve for x
    x = 91,597,700.34/10,469.20
  6. Step 6: Final answer
    x = 8,749.25

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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.