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Finding the Fourth Proportional to 10,906.12, 15,050.91 and 6,190.84

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Solution

The fourth proportional to 10,906.12, 15,050.91 and 6,190.84 is: 8,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.12 : 15,050.91 = 6,190.84 : x
  2. Step 2: Convert to fraction form
    10,906.12/15,050.91 = 6,190.84/x
  3. Step 3: Cross multiply
    10,906.12x = 15,050.91 × 6,190.84
  4. Step 4: Simplify right side
    10,906.12x = 93,177,775.66
  5. Step 5: Solve for x
    x = 93,177,775.66/10,906.12
  6. Step 6: Final answer
    x = 8,543.62

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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.