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Finding the Fourth Proportional to 10,122.96, 15,185.16 and 3,550.80

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Solution

The fourth proportional to 10,122.96, 15,185.16 and 3,550.80 is: 5,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.96 : 15,185.16 = 3,550.80 : x
  2. Step 2: Convert to fraction form
    10,122.96/15,185.16 = 3,550.80/x
  3. Step 3: Cross multiply
    10,122.96x = 15,185.16 × 3,550.80
  4. Step 4: Simplify right side
    10,122.96x = 53,919,466.13
  5. Step 5: Solve for x
    x = 53,919,466.13/10,122.96
  6. Step 6: Final answer
    x = 5,326.45

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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.