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Finding the Fourth Proportional to 10,081.54, 15,122.31 and 4,158.34

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Solution

The fourth proportional to 10,081.54, 15,122.31 and 4,158.34 is: 6,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.54 : 15,122.31 = 4,158.34 : x
  2. Step 2: Convert to fraction form
    10,081.54/15,122.31 = 4,158.34/x
  3. Step 3: Cross multiply
    10,081.54x = 15,122.31 × 4,158.34
  4. Step 4: Simplify right side
    10,081.54x = 62,883,706.57
  5. Step 5: Solve for x
    x = 62,883,706.57/10,081.54
  6. Step 6: Final answer
    x = 6,237.51

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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.