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Finding the Fourth Proportional to 8,221.84, 12,329.10 and 2,377.06

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Solution

The fourth proportional to 8,221.84, 12,329.10 and 2,377.06 is: 3,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.84 : 12,329.10 = 2,377.06 : x
  2. Step 2: Convert to fraction form
    8,221.84/12,329.10 = 2,377.06/x
  3. Step 3: Cross multiply
    8,221.84x = 12,329.10 × 2,377.06
  4. Step 4: Simplify right side
    8,221.84x = 29,307,010.45
  5. Step 5: Solve for x
    x = 29,307,010.45/8,221.84
  6. Step 6: Final answer
    x = 3,564.53

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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.