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Finding the Fourth Proportional to 8,097.75, 12,152.10 and 3,166.77

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Solution

The fourth proportional to 8,097.75, 12,152.10 and 3,166.77 is: 4,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.75 : 12,152.10 = 3,166.77 : x
  2. Step 2: Convert to fraction form
    8,097.75/12,152.10 = 3,166.77/x
  3. Step 3: Cross multiply
    8,097.75x = 12,152.10 × 3,166.77
  4. Step 4: Simplify right side
    8,097.75x = 38,482,905.72
  5. Step 5: Solve for x
    x = 38,482,905.72/8,097.75
  6. Step 6: Final answer
    x = 4,752.30

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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.