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Finding the Fourth Proportional to 10,361.93, 14,299.02 and 5,885.66

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Solution

The fourth proportional to 10,361.93, 14,299.02 and 5,885.66 is: 8,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.93 : 14,299.02 = 5,885.66 : x
  2. Step 2: Convert to fraction form
    10,361.93/14,299.02 = 5,885.66/x
  3. Step 3: Cross multiply
    10,361.93x = 14,299.02 × 5,885.66
  4. Step 4: Simplify right side
    10,361.93x = 84,159,098.56
  5. Step 5: Solve for x
    x = 84,159,098.56/10,361.93
  6. Step 6: Final answer
    x = 8,121.96

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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.