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Finding the Fourth Proportional to 10,809.54, 16,220.79 and 3,884.58

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Solution

The fourth proportional to 10,809.54, 16,220.79 and 3,884.58 is: 5,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.54 : 16,220.79 = 3,884.58 : x
  2. Step 2: Convert to fraction form
    10,809.54/16,220.79 = 3,884.58/x
  3. Step 3: Cross multiply
    10,809.54x = 16,220.79 × 3,884.58
  4. Step 4: Simplify right side
    10,809.54x = 63,010,956.42
  5. Step 5: Solve for x
    x = 63,010,956.42/10,809.54
  6. Step 6: Final answer
    x = 5,829.20

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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.