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Finding the Fourth Proportional to 7,882.20, 11,828.70 and 4,372.20

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Solution

The fourth proportional to 7,882.20, 11,828.70 and 4,372.20 is: 6,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.20 : 11,828.70 = 4,372.20 : x
  2. Step 2: Convert to fraction form
    7,882.20/11,828.70 = 4,372.20/x
  3. Step 3: Cross multiply
    7,882.20x = 11,828.70 × 4,372.20
  4. Step 4: Simplify right side
    7,882.20x = 51,717,442.14
  5. Step 5: Solve for x
    x = 51,717,442.14/7,882.20
  6. Step 6: Final answer
    x = 6,561.30

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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.