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Finding the Fourth Proportional to 10,814.36, 14,922.97 and 6,337.49

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Solution

The fourth proportional to 10,814.36, 14,922.97 and 6,337.49 is: 8,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.36 : 14,922.97 = 6,337.49 : x
  2. Step 2: Convert to fraction form
    10,814.36/14,922.97 = 6,337.49/x
  3. Step 3: Cross multiply
    10,814.36x = 14,922.97 × 6,337.49
  4. Step 4: Simplify right side
    10,814.36x = 94,574,082.69
  5. Step 5: Solve for x
    x = 94,574,082.69/10,814.36
  6. Step 6: Final answer
    x = 8,745.24

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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.