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Finding the Fourth Proportional to 10,388.36, 15,584.36 and 4,468.88

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Solution

The fourth proportional to 10,388.36, 15,584.36 and 4,468.88 is: 6,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.36 : 15,584.36 = 4,468.88 : x
  2. Step 2: Convert to fraction form
    10,388.36/15,584.36 = 4,468.88/x
  3. Step 3: Cross multiply
    10,388.36x = 15,584.36 × 4,468.88
  4. Step 4: Simplify right side
    10,388.36x = 69,644,634.72
  5. Step 5: Solve for x
    x = 69,644,634.72/10,388.36
  6. Step 6: Final answer
    x = 6,704.10

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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.