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Finding the Fourth Proportional to 10,980.62, 16,471.46 and 3,585.07

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Solution

The fourth proportional to 10,980.62, 16,471.46 and 3,585.07 is: 5,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.62 : 16,471.46 = 3,585.07 : x
  2. Step 2: Convert to fraction form
    10,980.62/16,471.46 = 3,585.07/x
  3. Step 3: Cross multiply
    10,980.62x = 16,471.46 × 3,585.07
  4. Step 4: Simplify right side
    10,980.62x = 59,051,337.10
  5. Step 5: Solve for x
    x = 59,051,337.10/10,980.62
  6. Step 6: Final answer
    x = 5,377.78

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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.