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Finding the Fourth Proportional to 10,677.57, 16,022.10 and 4,441.89

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Solution

The fourth proportional to 10,677.57, 16,022.10 and 4,441.89 is: 6,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.57 : 16,022.10 = 4,441.89 : x
  2. Step 2: Convert to fraction form
    10,677.57/16,022.10 = 4,441.89/x
  3. Step 3: Cross multiply
    10,677.57x = 16,022.10 × 4,441.89
  4. Step 4: Simplify right side
    10,677.57x = 71,168,392.38
  5. Step 5: Solve for x
    x = 71,168,392.38/10,677.57
  6. Step 6: Final answer
    x = 6,665.22

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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.