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Finding the Fourth Proportional to 10,610.70, 15,916.05 and 2,713.20

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Solution

The fourth proportional to 10,610.70, 15,916.05 and 2,713.20 is: 4,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.70 : 15,916.05 = 2,713.20 : x
  2. Step 2: Convert to fraction form
    10,610.70/15,916.05 = 2,713.20/x
  3. Step 3: Cross multiply
    10,610.70x = 15,916.05 × 2,713.20
  4. Step 4: Simplify right side
    10,610.70x = 43,183,426.86
  5. Step 5: Solve for x
    x = 43,183,426.86/10,610.70
  6. Step 6: Final answer
    x = 4,069.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.