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Finding the Fourth Proportional to 8,713.84, 13,072.56 and 3,520.12

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Solution

The fourth proportional to 8,713.84, 13,072.56 and 3,520.12 is: 5,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.84 : 13,072.56 = 3,520.12 : x
  2. Step 2: Convert to fraction form
    8,713.84/13,072.56 = 3,520.12/x
  3. Step 3: Cross multiply
    8,713.84x = 13,072.56 × 3,520.12
  4. Step 4: Simplify right side
    8,713.84x = 46,016,979.91
  5. Step 5: Solve for x
    x = 46,016,979.91/8,713.84
  6. Step 6: Final answer
    x = 5,280.91

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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.