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Finding the Fourth Proportional to 8,438.37, 12,657.59 and 2,594.94

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Solution

The fourth proportional to 8,438.37, 12,657.59 and 2,594.94 is: 3,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.37 : 12,657.59 = 2,594.94 : x
  2. Step 2: Convert to fraction form
    8,438.37/12,657.59 = 2,594.94/x
  3. Step 3: Cross multiply
    8,438.37x = 12,657.59 × 2,594.94
  4. Step 4: Simplify right side
    8,438.37x = 32,845,673.62
  5. Step 5: Solve for x
    x = 32,845,673.62/8,438.37
  6. Step 6: Final answer
    x = 3,892.42

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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.