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Finding the Fourth Proportional to 8,052.10, 12,072.15 and 4,159.30

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Solution

The fourth proportional to 8,052.10, 12,072.15 and 4,159.30 is: 6,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.10 : 12,072.15 = 4,159.30 : x
  2. Step 2: Convert to fraction form
    8,052.10/12,072.15 = 4,159.30/x
  3. Step 3: Cross multiply
    8,052.10x = 12,072.15 × 4,159.30
  4. Step 4: Simplify right side
    8,052.10x = 50,211,693.50
  5. Step 5: Solve for x
    x = 50,211,693.50/8,052.10
  6. Step 6: Final answer
    x = 6,235.85

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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.