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Finding the Fourth Proportional to 10,930.71, 16,396.07 and 5,080.49

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Solution

The fourth proportional to 10,930.71, 16,396.07 and 5,080.49 is: 7,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.71 : 16,396.07 = 5,080.49 : x
  2. Step 2: Convert to fraction form
    10,930.71/16,396.07 = 5,080.49/x
  3. Step 3: Cross multiply
    10,930.71x = 16,396.07 × 5,080.49
  4. Step 4: Simplify right side
    10,930.71x = 83,300,069.67
  5. Step 5: Solve for x
    x = 83,300,069.67/10,930.71
  6. Step 6: Final answer
    x = 7,620.74

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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.