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Finding the Fourth Proportional to 8,342.24, 12,510.86 and 5,226.98

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Solution

The fourth proportional to 8,342.24, 12,510.86 and 5,226.98 is: 7,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.24 : 12,510.86 = 5,226.98 : x
  2. Step 2: Convert to fraction form
    8,342.24/12,510.86 = 5,226.98/x
  3. Step 3: Cross multiply
    8,342.24x = 12,510.86 × 5,226.98
  4. Step 4: Simplify right side
    8,342.24x = 65,394,015.00
  5. Step 5: Solve for x
    x = 65,394,015.00/8,342.24
  6. Step 6: Final answer
    x = 7,838.90

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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.