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Finding the Fourth Proportional to 8,896.80, 13,345.20 and 8,119.20

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Solution

The fourth proportional to 8,896.80, 13,345.20 and 8,119.20 is: 12,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.80 : 13,345.20 = 8,119.20 : x
  2. Step 2: Convert to fraction form
    8,896.80/13,345.20 = 8,119.20/x
  3. Step 3: Cross multiply
    8,896.80x = 13,345.20 × 8,119.20
  4. Step 4: Simplify right side
    8,896.80x = 108,352,347.84
  5. Step 5: Solve for x
    x = 108,352,347.84/8,896.80
  6. Step 6: Final answer
    x = 12,178.80

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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.