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Finding the Fourth Proportional to 8,299.46, 12,436.21 and 5,214.98

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Solution

The fourth proportional to 8,299.46, 12,436.21 and 5,214.98 is: 7,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.46 : 12,436.21 = 5,214.98 : x
  2. Step 2: Convert to fraction form
    8,299.46/12,436.21 = 5,214.98/x
  3. Step 3: Cross multiply
    8,299.46x = 12,436.21 × 5,214.98
  4. Step 4: Simplify right side
    8,299.46x = 64,854,498.17
  5. Step 5: Solve for x
    x = 64,854,498.17/8,299.46
  6. Step 6: Final answer
    x = 7,814.31

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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.