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Finding the Fourth Proportional to 10,980.47, 16,471.38 and 4,405.80

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Solution

The fourth proportional to 10,980.47, 16,471.38 and 4,405.80 is: 6,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.47 : 16,471.38 = 4,405.80 : x
  2. Step 2: Convert to fraction form
    10,980.47/16,471.38 = 4,405.80/x
  3. Step 3: Cross multiply
    10,980.47x = 16,471.38 × 4,405.80
  4. Step 4: Simplify right side
    10,980.47x = 72,569,606.00
  5. Step 5: Solve for x
    x = 72,569,606.00/10,980.47
  6. Step 6: Final answer
    x = 6,608.97

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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.