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Finding the Fourth Proportional to 8,089.16, 12,139.50 and 3,473.48

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Solution

The fourth proportional to 8,089.16, 12,139.50 and 3,473.48 is: 5,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.16 : 12,139.50 = 3,473.48 : x
  2. Step 2: Convert to fraction form
    8,089.16/12,139.50 = 3,473.48/x
  3. Step 3: Cross multiply
    8,089.16x = 12,139.50 × 3,473.48
  4. Step 4: Simplify right side
    8,089.16x = 42,166,310.46
  5. Step 5: Solve for x
    x = 42,166,310.46/8,089.16
  6. Step 6: Final answer
    x = 5,212.69

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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.