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Finding the Fourth Proportional to 10,123.84, 13,972.08 and 5,932

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Solution

The fourth proportional to 10,123.84, 13,972.08 and 5,932 is: 8,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.84 : 13,972.08 = 5,932 : x
  2. Step 2: Convert to fraction form
    10,123.84/13,972.08 = 5,932/x
  3. Step 3: Cross multiply
    10,123.84x = 13,972.08 × 5,932
  4. Step 4: Simplify right side
    10,123.84x = 82,882,378.56
  5. Step 5: Solve for x
    x = 82,882,378.56/10,123.84
  6. Step 6: Final answer
    x = 8,186.85

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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.