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Finding the Fourth Proportional to 8,546.34, 12,819.43 and 2,702.95

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Solution

The fourth proportional to 8,546.34, 12,819.43 and 2,702.95 is: 4,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.34 : 12,819.43 = 2,702.95 : x
  2. Step 2: Convert to fraction form
    8,546.34/12,819.43 = 2,702.95/x
  3. Step 3: Cross multiply
    8,546.34x = 12,819.43 × 2,702.95
  4. Step 4: Simplify right side
    8,546.34x = 34,650,278.32
  5. Step 5: Solve for x
    x = 34,650,278.32/8,546.34
  6. Step 6: Final answer
    x = 4,054.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.