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Finding the Fourth Proportional to 8,546.16, 12,819.14 and 2,702.76

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Solution

The fourth proportional to 8,546.16, 12,819.14 and 2,702.76 is: 4,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.16 : 12,819.14 = 2,702.76 : x
  2. Step 2: Convert to fraction form
    8,546.16/12,819.14 = 2,702.76/x
  3. Step 3: Cross multiply
    8,546.16x = 12,819.14 × 2,702.76
  4. Step 4: Simplify right side
    8,546.16x = 34,647,058.83
  5. Step 5: Solve for x
    x = 34,647,058.83/8,546.16
  6. Step 6: Final answer
    x = 4,054.11

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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.