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Finding the Fourth Proportional to 10,169.13, 15,252.78 and 3,594.99

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Solution

The fourth proportional to 10,169.13, 15,252.78 and 3,594.99 is: 5,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.13 : 15,252.78 = 3,594.99 : x
  2. Step 2: Convert to fraction form
    10,169.13/15,252.78 = 3,594.99/x
  3. Step 3: Cross multiply
    10,169.13x = 15,252.78 × 3,594.99
  4. Step 4: Simplify right side
    10,169.13x = 54,833,591.57
  5. Step 5: Solve for x
    x = 54,833,591.57/10,169.13
  6. Step 6: Final answer
    x = 5,392.16

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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.