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Finding the Fourth Proportional to 7,448.96, 11,177.88 and 2,768.18

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Solution

The fourth proportional to 7,448.96, 11,177.88 and 2,768.18 is: 4,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.96 : 11,177.88 = 2,768.18 : x
  2. Step 2: Convert to fraction form
    7,448.96/11,177.88 = 2,768.18/x
  3. Step 3: Cross multiply
    7,448.96x = 11,177.88 × 2,768.18
  4. Step 4: Simplify right side
    7,448.96x = 30,942,383.86
  5. Step 5: Solve for x
    x = 30,942,383.86/7,448.96
  6. Step 6: Final answer
    x = 4,153.92

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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.