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Finding the Fourth Proportional to 7,340.67, 11,014.65 and 3,642.75

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Solution

The fourth proportional to 7,340.67, 11,014.65 and 3,642.75 is: 5,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.67 : 11,014.65 = 3,642.75 : x
  2. Step 2: Convert to fraction form
    7,340.67/11,014.65 = 3,642.75/x
  3. Step 3: Cross multiply
    7,340.67x = 11,014.65 × 3,642.75
  4. Step 4: Simplify right side
    7,340.67x = 40,123,616.29
  5. Step 5: Solve for x
    x = 40,123,616.29/7,340.67
  6. Step 6: Final answer
    x = 5,465.93

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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.