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Finding the Fourth Proportional to 7,177.28, 10,778.28 and 4,273.84

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Solution

The fourth proportional to 7,177.28, 10,778.28 and 4,273.84 is: 6,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.28 : 10,778.28 = 4,273.84 : x
  2. Step 2: Convert to fraction form
    7,177.28/10,778.28 = 4,273.84/x
  3. Step 3: Cross multiply
    7,177.28x = 10,778.28 × 4,273.84
  4. Step 4: Simplify right side
    7,177.28x = 46,064,644.20
  5. Step 5: Solve for x
    x = 46,064,644.20/7,177.28
  6. Step 6: Final answer
    x = 6,418.12

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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.