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Finding the Fourth Proportional to 10,219.71, 15,331.05 and 3,645.31

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Solution

The fourth proportional to 10,219.71, 15,331.05 and 3,645.31 is: 5,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.71 : 15,331.05 = 3,645.31 : x
  2. Step 2: Convert to fraction form
    10,219.71/15,331.05 = 3,645.31/x
  3. Step 3: Cross multiply
    10,219.71x = 15,331.05 × 3,645.31
  4. Step 4: Simplify right side
    10,219.71x = 55,886,411.65
  5. Step 5: Solve for x
    x = 55,886,411.65/10,219.71
  6. Step 6: Final answer
    x = 5,468.49

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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.