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Finding the Fourth Proportional to 8,219.49, 11,348.82 and 7,421.24

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Solution

The fourth proportional to 8,219.49, 11,348.82 and 7,421.24 is: 10,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.49 : 11,348.82 = 7,421.24 : x
  2. Step 2: Convert to fraction form
    8,219.49/11,348.82 = 7,421.24/x
  3. Step 3: Cross multiply
    8,219.49x = 11,348.82 × 7,421.24
  4. Step 4: Simplify right side
    8,219.49x = 84,222,260.19
  5. Step 5: Solve for x
    x = 84,222,260.19/8,219.49
  6. Step 6: Final answer
    x = 10,246.65

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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.