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Finding the Fourth Proportional to 8,277.96, 12,419.70 and 3,344.94

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Solution

The fourth proportional to 8,277.96, 12,419.70 and 3,344.94 is: 5,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.96 : 12,419.70 = 3,344.94 : x
  2. Step 2: Convert to fraction form
    8,277.96/12,419.70 = 3,344.94/x
  3. Step 3: Cross multiply
    8,277.96x = 12,419.70 × 3,344.94
  4. Step 4: Simplify right side
    8,277.96x = 41,543,151.32
  5. Step 5: Solve for x
    x = 41,543,151.32/8,277.96
  6. Step 6: Final answer
    x = 5,018.53

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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.