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Finding the Fourth Proportional to 10,838.80, 16,258.20 and 4,262.80

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Solution

The fourth proportional to 10,838.80, 16,258.20 and 4,262.80 is: 6,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.80 : 16,258.20 = 4,262.80 : x
  2. Step 2: Convert to fraction form
    10,838.80/16,258.20 = 4,262.80/x
  3. Step 3: Cross multiply
    10,838.80x = 16,258.20 × 4,262.80
  4. Step 4: Simplify right side
    10,838.80x = 69,305,454.96
  5. Step 5: Solve for x
    x = 69,305,454.96/10,838.80
  6. Step 6: Final answer
    x = 6,394.20

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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.