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Finding the Fourth Proportional to 8,238.13, 12,285.67 and 7,951.12

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Solution

The fourth proportional to 8,238.13, 12,285.67 and 7,951.12 is: 11,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.13 : 12,285.67 = 7,951.12 : x
  2. Step 2: Convert to fraction form
    8,238.13/12,285.67 = 7,951.12/x
  3. Step 3: Cross multiply
    8,238.13x = 12,285.67 × 7,951.12
  4. Step 4: Simplify right side
    8,238.13x = 97,684,836.45
  5. Step 5: Solve for x
    x = 97,684,836.45/8,238.13
  6. Step 6: Final answer
    x = 11,857.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.