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Finding the Fourth Proportional to 8,374.37, 12,560.68 and 4,212.68

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Solution

The fourth proportional to 8,374.37, 12,560.68 and 4,212.68 is: 6,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.37 : 12,560.68 = 4,212.68 : x
  2. Step 2: Convert to fraction form
    8,374.37/12,560.68 = 4,212.68/x
  3. Step 3: Cross multiply
    8,374.37x = 12,560.68 × 4,212.68
  4. Step 4: Simplify right side
    8,374.37x = 52,914,041.56
  5. Step 5: Solve for x
    x = 52,914,041.56/8,374.37
  6. Step 6: Final answer
    x = 6,318.57

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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.