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Finding the Fourth Proportional to 8,048.12, 12,065.82 and 5,231

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Solution

The fourth proportional to 8,048.12, 12,065.82 and 5,231 is: 7,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.12 : 12,065.82 = 5,231 : x
  2. Step 2: Convert to fraction form
    8,048.12/12,065.82 = 5,231/x
  3. Step 3: Cross multiply
    8,048.12x = 12,065.82 × 5,231
  4. Step 4: Simplify right side
    8,048.12x = 63,116,304.42
  5. Step 5: Solve for x
    x = 63,116,304.42/8,048.12
  6. Step 6: Final answer
    x = 7,842.37

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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.