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Finding the Fourth Proportional to 10,980.20, 16,471.04 and 3,863.60

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Solution

The fourth proportional to 10,980.20, 16,471.04 and 3,863.60 is: 5,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.20 : 16,471.04 = 3,863.60 : x
  2. Step 2: Convert to fraction form
    10,980.20/16,471.04 = 3,863.60/x
  3. Step 3: Cross multiply
    10,980.20x = 16,471.04 × 3,863.60
  4. Step 4: Simplify right side
    10,980.20x = 63,637,430.20
  5. Step 5: Solve for x
    x = 63,637,430.20/10,980.20
  6. Step 6: Final answer
    x = 5,795.65

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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.