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Finding the Fourth Proportional to 8,706.66, 13,062.93 and 2,864.22

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Solution

The fourth proportional to 8,706.66, 13,062.93 and 2,864.22 is: 4,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.66 : 13,062.93 = 2,864.22 : x
  2. Step 2: Convert to fraction form
    8,706.66/13,062.93 = 2,864.22/x
  3. Step 3: Cross multiply
    8,706.66x = 13,062.93 × 2,864.22
  4. Step 4: Simplify right side
    8,706.66x = 37,415,105.36
  5. Step 5: Solve for x
    x = 37,415,105.36/8,706.66
  6. Step 6: Final answer
    x = 4,297.30

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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.