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Finding the Fourth Proportional to 8,047.35, 12,070.62 and 2,780.73

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Solution

The fourth proportional to 8,047.35, 12,070.62 and 2,780.73 is: 4,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.35 : 12,070.62 = 2,780.73 : x
  2. Step 2: Convert to fraction form
    8,047.35/12,070.62 = 2,780.73/x
  3. Step 3: Cross multiply
    8,047.35x = 12,070.62 × 2,780.73
  4. Step 4: Simplify right side
    8,047.35x = 33,565,135.15
  5. Step 5: Solve for x
    x = 33,565,135.15/8,047.35
  6. Step 6: Final answer
    x = 4,170.96

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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.