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Finding the Fourth Proportional to 10,388.84, 15,583.26 and 3,463.88

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Solution

The fourth proportional to 10,388.84, 15,583.26 and 3,463.88 is: 5,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.84 : 15,583.26 = 3,463.88 : x
  2. Step 2: Convert to fraction form
    10,388.84/15,583.26 = 3,463.88/x
  3. Step 3: Cross multiply
    10,388.84x = 15,583.26 × 3,463.88
  4. Step 4: Simplify right side
    10,388.84x = 53,978,542.65
  5. Step 5: Solve for x
    x = 53,978,542.65/10,388.84
  6. Step 6: Final answer
    x = 5,195.82

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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.