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Finding the Fourth Proportional to 10,906.64, 15,051.56 and 6,190.80

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Solution

The fourth proportional to 10,906.64, 15,051.56 and 6,190.80 is: 8,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.64 : 15,051.56 = 6,190.80 : x
  2. Step 2: Convert to fraction form
    10,906.64/15,051.56 = 6,190.80/x
  3. Step 3: Cross multiply
    10,906.64x = 15,051.56 × 6,190.80
  4. Step 4: Simplify right side
    10,906.64x = 93,181,197.65
  5. Step 5: Solve for x
    x = 93,181,197.65/10,906.64
  6. Step 6: Final answer
    x = 8,543.53

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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.