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Finding the Fourth Proportional to 8,022.72, 12,017.70 and 4,725.84

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Solution

The fourth proportional to 8,022.72, 12,017.70 and 4,725.84 is: 7,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.72 : 12,017.70 = 4,725.84 : x
  2. Step 2: Convert to fraction form
    8,022.72/12,017.70 = 4,725.84/x
  3. Step 3: Cross multiply
    8,022.72x = 12,017.70 × 4,725.84
  4. Step 4: Simplify right side
    8,022.72x = 56,793,727.37
  5. Step 5: Solve for x
    x = 56,793,727.37/8,022.72
  6. Step 6: Final answer
    x = 7,079.11

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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.