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Finding the Fourth Proportional to 8,677.14, 13,010.42 and 3,405.84

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Solution

The fourth proportional to 8,677.14, 13,010.42 and 3,405.84 is: 5,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.14 : 13,010.42 = 3,405.84 : x
  2. Step 2: Convert to fraction form
    8,677.14/13,010.42 = 3,405.84/x
  3. Step 3: Cross multiply
    8,677.14x = 13,010.42 × 3,405.84
  4. Step 4: Simplify right side
    8,677.14x = 44,311,408.85
  5. Step 5: Solve for x
    x = 44,311,408.85/8,677.14
  6. Step 6: Final answer
    x = 5,106.68

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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.