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Finding the Fourth Proportional to 8,470.07, 12,705.56 and 2,847.66

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Solution

The fourth proportional to 8,470.07, 12,705.56 and 2,847.66 is: 4,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.07 : 12,705.56 = 2,847.66 : x
  2. Step 2: Convert to fraction form
    8,470.07/12,705.56 = 2,847.66/x
  3. Step 3: Cross multiply
    8,470.07x = 12,705.56 × 2,847.66
  4. Step 4: Simplify right side
    8,470.07x = 36,181,063.78
  5. Step 5: Solve for x
    x = 36,181,063.78/8,470.07
  6. Step 6: Final answer
    x = 4,271.64

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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.