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Finding the Fourth Proportional to 8,578.26, 12,854.16 and 5,794.02

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Solution

The fourth proportional to 8,578.26, 12,854.16 and 5,794.02 is: 8,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.26 : 12,854.16 = 5,794.02 : x
  2. Step 2: Convert to fraction form
    8,578.26/12,854.16 = 5,794.02/x
  3. Step 3: Cross multiply
    8,578.26x = 12,854.16 × 5,794.02
  4. Step 4: Simplify right side
    8,578.26x = 74,477,260.12
  5. Step 5: Solve for x
    x = 74,477,260.12/8,578.26
  6. Step 6: Final answer
    x = 8,682.09

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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.