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Finding the Fourth Proportional to 7,331.14, 10,990.20 and 3,813.76

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Solution

The fourth proportional to 7,331.14, 10,990.20 and 3,813.76 is: 5,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.14 : 10,990.20 = 3,813.76 : x
  2. Step 2: Convert to fraction form
    7,331.14/10,990.20 = 3,813.76/x
  3. Step 3: Cross multiply
    7,331.14x = 10,990.20 × 3,813.76
  4. Step 4: Simplify right side
    7,331.14x = 41,913,985.15
  5. Step 5: Solve for x
    x = 41,913,985.15/7,331.14
  6. Step 6: Final answer
    x = 5,717.25

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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.