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Finding the Fourth Proportional to 10,078.62, 15,118.28 and 3,504.87

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Solution

The fourth proportional to 10,078.62, 15,118.28 and 3,504.87 is: 5,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.62 : 15,118.28 = 3,504.87 : x
  2. Step 2: Convert to fraction form
    10,078.62/15,118.28 = 3,504.87/x
  3. Step 3: Cross multiply
    10,078.62x = 15,118.28 × 3,504.87
  4. Step 4: Simplify right side
    10,078.62x = 52,987,588.50
  5. Step 5: Solve for x
    x = 52,987,588.50/10,078.62
  6. Step 6: Final answer
    x = 5,257.42

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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.