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Finding the Fourth Proportional to 8,457.84, 12,677.94 and 3,530.34

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Solution

The fourth proportional to 8,457.84, 12,677.94 and 3,530.34 is: 5,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.84 : 12,677.94 = 3,530.34 : x
  2. Step 2: Convert to fraction form
    8,457.84/12,677.94 = 3,530.34/x
  3. Step 3: Cross multiply
    8,457.84x = 12,677.94 × 3,530.34
  4. Step 4: Simplify right side
    8,457.84x = 44,757,438.70
  5. Step 5: Solve for x
    x = 44,757,438.70/8,457.84
  6. Step 6: Final answer
    x = 5,291.83

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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.