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Finding the Fourth Proportional to 10,392.62, 15,579.70 and 3,817.26

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Solution

The fourth proportional to 10,392.62, 15,579.70 and 3,817.26 is: 5,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.62 : 15,579.70 = 3,817.26 : x
  2. Step 2: Convert to fraction form
    10,392.62/15,579.70 = 3,817.26/x
  3. Step 3: Cross multiply
    10,392.62x = 15,579.70 × 3,817.26
  4. Step 4: Simplify right side
    10,392.62x = 59,471,756.08
  5. Step 5: Solve for x
    x = 59,471,756.08/10,392.62
  6. Step 6: Final answer
    x = 5,722.50

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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.