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Finding the Fourth Proportional to 8,098.51, 12,147.77 and 3,169.60

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Solution

The fourth proportional to 8,098.51, 12,147.77 and 3,169.60 is: 4,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.51 : 12,147.77 = 3,169.60 : x
  2. Step 2: Convert to fraction form
    8,098.51/12,147.77 = 3,169.60/x
  3. Step 3: Cross multiply
    8,098.51x = 12,147.77 × 3,169.60
  4. Step 4: Simplify right side
    8,098.51x = 38,503,495.21
  5. Step 5: Solve for x
    x = 38,503,495.21/8,098.51
  6. Step 6: Final answer
    x = 4,754.40

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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.