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Finding the Fourth Proportional to 10,980.43, 16,474.51 and 7,297.27

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Solution

The fourth proportional to 10,980.43, 16,474.51 and 7,297.27 is: 10,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.43 : 16,474.51 = 7,297.27 : x
  2. Step 2: Convert to fraction form
    10,980.43/16,474.51 = 7,297.27/x
  3. Step 3: Cross multiply
    10,980.43x = 16,474.51 × 7,297.27
  4. Step 4: Simplify right side
    10,980.43x = 120,218,915.52
  5. Step 5: Solve for x
    x = 120,218,915.52/10,980.43
  6. Step 6: Final answer
    x = 10,948.47

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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.