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Finding the Fourth Proportional to 7,744.48, 11,615.76 and 2,813.92

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Solution

The fourth proportional to 7,744.48, 11,615.76 and 2,813.92 is: 4,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.48 : 11,615.76 = 2,813.92 : x
  2. Step 2: Convert to fraction form
    7,744.48/11,615.76 = 2,813.92/x
  3. Step 3: Cross multiply
    7,744.48x = 11,615.76 × 2,813.92
  4. Step 4: Simplify right side
    7,744.48x = 32,685,819.38
  5. Step 5: Solve for x
    x = 32,685,819.38/7,744.48
  6. Step 6: Final answer
    x = 4,220.53

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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.