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Finding the Fourth Proportional to 8,830.84, 13,249.49 and 8,309.20

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Solution

The fourth proportional to 8,830.84, 13,249.49 and 8,309.20 is: 12,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.84 : 13,249.49 = 8,309.20 : x
  2. Step 2: Convert to fraction form
    8,830.84/13,249.49 = 8,309.20/x
  3. Step 3: Cross multiply
    8,830.84x = 13,249.49 × 8,309.20
  4. Step 4: Simplify right side
    8,830.84x = 110,092,662.31
  5. Step 5: Solve for x
    x = 110,092,662.31/8,830.84
  6. Step 6: Final answer
    x = 12,466.84

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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.