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Finding the Fourth Proportional to 10,542.50, 15,816.18 and 3,617

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Solution

The fourth proportional to 10,542.50, 15,816.18 and 3,617 is: 5,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.50 : 15,816.18 = 3,617 : x
  2. Step 2: Convert to fraction form
    10,542.50/15,816.18 = 3,617/x
  3. Step 3: Cross multiply
    10,542.50x = 15,816.18 × 3,617
  4. Step 4: Simplify right side
    10,542.50x = 57,207,123.06
  5. Step 5: Solve for x
    x = 57,207,123.06/10,542.50
  6. Step 6: Final answer
    x = 5,426.33

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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.