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Finding the Fourth Proportional to 10,362.25, 15,542.97 and 2,966.41

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Solution

The fourth proportional to 10,362.25, 15,542.97 and 2,966.41 is: 4,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.25 : 15,542.97 = 2,966.41 : x
  2. Step 2: Convert to fraction form
    10,362.25/15,542.97 = 2,966.41/x
  3. Step 3: Cross multiply
    10,362.25x = 15,542.97 × 2,966.41
  4. Step 4: Simplify right side
    10,362.25x = 46,106,821.64
  5. Step 5: Solve for x
    x = 46,106,821.64/10,362.25
  6. Step 6: Final answer
    x = 4,449.50

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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.