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Finding the Fourth Proportional to 8,706.25, 12,014.31 and 4,727.28

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Solution

The fourth proportional to 8,706.25, 12,014.31 and 4,727.28 is: 6,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.25 : 12,014.31 = 4,727.28 : x
  2. Step 2: Convert to fraction form
    8,706.25/12,014.31 = 4,727.28/x
  3. Step 3: Cross multiply
    8,706.25x = 12,014.31 × 4,727.28
  4. Step 4: Simplify right side
    8,706.25x = 56,795,007.38
  5. Step 5: Solve for x
    x = 56,795,007.38/8,706.25
  6. Step 6: Final answer
    x = 6,523.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.