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Finding the Fourth Proportional to 8,896, 13,344.32 and 3,348.80

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Solution

The fourth proportional to 8,896, 13,344.32 and 3,348.80 is: 5,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896 : 13,344.32 = 3,348.80 : x
  2. Step 2: Convert to fraction form
    8,896/13,344.32 = 3,348.80/x
  3. Step 3: Cross multiply
    8,896x = 13,344.32 × 3,348.80
  4. Step 4: Simplify right side
    8,896x = 44,687,458.82
  5. Step 5: Solve for x
    x = 44,687,458.82/8,896
  6. Step 6: Final answer
    x = 5,023.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.