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Finding the Fourth Proportional to 10,361.88, 14,306.76 and 6,384.24

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Solution

The fourth proportional to 10,361.88, 14,306.76 and 6,384.24 is: 8,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.88 : 14,306.76 = 6,384.24 : x
  2. Step 2: Convert to fraction form
    10,361.88/14,306.76 = 6,384.24/x
  3. Step 3: Cross multiply
    10,361.88x = 14,306.76 × 6,384.24
  4. Step 4: Simplify right side
    10,361.88x = 91,337,789.46
  5. Step 5: Solve for x
    x = 91,337,789.46/10,361.88
  6. Step 6: Final answer
    x = 8,814.79

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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.