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Finding the Fourth Proportional to 10,814.50, 14,922.67 and 6,337.22

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Solution

The fourth proportional to 10,814.50, 14,922.67 and 6,337.22 is: 8,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.50 : 14,922.67 = 6,337.22 : x
  2. Step 2: Convert to fraction form
    10,814.50/14,922.67 = 6,337.22/x
  3. Step 3: Cross multiply
    10,814.50x = 14,922.67 × 6,337.22
  4. Step 4: Simplify right side
    10,814.50x = 94,568,242.78
  5. Step 5: Solve for x
    x = 94,568,242.78/10,814.50
  6. Step 6: Final answer
    x = 8,744.58

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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.