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Finding the Fourth Proportional to 10,113.84, 15,171.60 and 3,093.66

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Solution

The fourth proportional to 10,113.84, 15,171.60 and 3,093.66 is: 4,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.84 : 15,171.60 = 3,093.66 : x
  2. Step 2: Convert to fraction form
    10,113.84/15,171.60 = 3,093.66/x
  3. Step 3: Cross multiply
    10,113.84x = 15,171.60 × 3,093.66
  4. Step 4: Simplify right side
    10,113.84x = 46,935,772.06
  5. Step 5: Solve for x
    x = 46,935,772.06/10,113.84
  6. Step 6: Final answer
    x = 4,640.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.