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Finding the Fourth Proportional to 8,706.06, 13,057.83 and 2,783.61

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Solution

The fourth proportional to 8,706.06, 13,057.83 and 2,783.61 is: 4,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.06 : 13,057.83 = 2,783.61 : x
  2. Step 2: Convert to fraction form
    8,706.06/13,057.83 = 2,783.61/x
  3. Step 3: Cross multiply
    8,706.06x = 13,057.83 × 2,783.61
  4. Step 4: Simplify right side
    8,706.06x = 36,347,906.17
  5. Step 5: Solve for x
    x = 36,347,906.17/8,706.06
  6. Step 6: Final answer
    x = 4,175.01

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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.