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Finding the Fourth Proportional to 10,951.84, 15,113.55 and 5,983.84

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Solution

The fourth proportional to 10,951.84, 15,113.55 and 5,983.84 is: 8,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.84 : 15,113.55 = 5,983.84 : x
  2. Step 2: Convert to fraction form
    10,951.84/15,113.55 = 5,983.84/x
  3. Step 3: Cross multiply
    10,951.84x = 15,113.55 × 5,983.84
  4. Step 4: Simplify right side
    10,951.84x = 90,437,065.03
  5. Step 5: Solve for x
    x = 90,437,065.03/10,951.84
  6. Step 6: Final answer
    x = 8,257.71

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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.