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Finding the Fourth Proportional to 10,112, 15,169.84 and 3,542.24

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Solution

The fourth proportional to 10,112, 15,169.84 and 3,542.24 is: 5,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112 : 15,169.84 = 3,542.24 : x
  2. Step 2: Convert to fraction form
    10,112/15,169.84 = 3,542.24/x
  3. Step 3: Cross multiply
    10,112x = 15,169.84 × 3,542.24
  4. Step 4: Simplify right side
    10,112x = 53,735,214.04
  5. Step 5: Solve for x
    x = 53,735,214.04/10,112
  6. Step 6: Final answer
    x = 5,314.00

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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.