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Finding the Fourth Proportional to 8,224.22, 12,341.79 and 7,677.47

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Solution

The fourth proportional to 8,224.22, 12,341.79 and 7,677.47 is: 11,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.22 : 12,341.79 = 7,677.47 : x
  2. Step 2: Convert to fraction form
    8,224.22/12,341.79 = 7,677.47/x
  3. Step 3: Cross multiply
    8,224.22x = 12,341.79 × 7,677.47
  4. Step 4: Simplify right side
    8,224.22x = 94,753,660.76
  5. Step 5: Solve for x
    x = 94,753,660.76/8,224.22
  6. Step 6: Final answer
    x = 11,521.30

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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.