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Finding the Fourth Proportional to 8,138.35, 12,193.59 and 5,464.95

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Solution

The fourth proportional to 8,138.35, 12,193.59 and 5,464.95 is: 8,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.35 : 12,193.59 = 5,464.95 : x
  2. Step 2: Convert to fraction form
    8,138.35/12,193.59 = 5,464.95/x
  3. Step 3: Cross multiply
    8,138.35x = 12,193.59 × 5,464.95
  4. Step 4: Simplify right side
    8,138.35x = 66,637,359.67
  5. Step 5: Solve for x
    x = 66,637,359.67/8,138.35
  6. Step 6: Final answer
    x = 8,188.07

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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.