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Finding the Fourth Proportional to 12,882.78, 17,774.20 and 7,216.76

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Solution

The fourth proportional to 12,882.78, 17,774.20 and 7,216.76 is: 9,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.78 : 17,774.20 = 7,216.76 : x
  2. Step 2: Convert to fraction form
    12,882.78/17,774.20 = 7,216.76/x
  3. Step 3: Cross multiply
    12,882.78x = 17,774.20 × 7,216.76
  4. Step 4: Simplify right side
    12,882.78x = 128,272,189.05
  5. Step 5: Solve for x
    x = 128,272,189.05/12,882.78
  6. Step 6: Final answer
    x = 9,956.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.