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Finding the Fourth Proportional to 7,493.67, 11,231.19 and 3,106.71

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Solution

The fourth proportional to 7,493.67, 11,231.19 and 3,106.71 is: 4,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.67 : 11,231.19 = 3,106.71 : x
  2. Step 2: Convert to fraction form
    7,493.67/11,231.19 = 3,106.71/x
  3. Step 3: Cross multiply
    7,493.67x = 11,231.19 × 3,106.71
  4. Step 4: Simplify right side
    7,493.67x = 34,892,050.28
  5. Step 5: Solve for x
    x = 34,892,050.28/7,493.67
  6. Step 6: Final answer
    x = 4,656.20

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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.