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Finding the Fourth Proportional to 10,850.50, 14,971.89 and 6,816.70

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Solution

The fourth proportional to 10,850.50, 14,971.89 and 6,816.70 is: 9,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.50 : 14,971.89 = 6,816.70 : x
  2. Step 2: Convert to fraction form
    10,850.50/14,971.89 = 6,816.70/x
  3. Step 3: Cross multiply
    10,850.50x = 14,971.89 × 6,816.70
  4. Step 4: Simplify right side
    10,850.50x = 102,058,882.56
  5. Step 5: Solve for x
    x = 102,058,882.56/10,850.50
  6. Step 6: Final answer
    x = 9,405.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.