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Finding the Fourth Proportional to 7,114.89, 10,663.16 and 3,409.41

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Solution

The fourth proportional to 7,114.89, 10,663.16 and 3,409.41 is: 5,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.89 : 10,663.16 = 3,409.41 : x
  2. Step 2: Convert to fraction form
    7,114.89/10,663.16 = 3,409.41/x
  3. Step 3: Cross multiply
    7,114.89x = 10,663.16 × 3,409.41
  4. Step 4: Simplify right side
    7,114.89x = 36,355,067.29
  5. Step 5: Solve for x
    x = 36,355,067.29/7,114.89
  6. Step 6: Final answer
    x = 5,109.72

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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.