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Finding the Fourth Proportional to 7,808.05, 11,710.78 and 2,809.41

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Solution

The fourth proportional to 7,808.05, 11,710.78 and 2,809.41 is: 4,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.05 : 11,710.78 = 2,809.41 : x
  2. Step 2: Convert to fraction form
    7,808.05/11,710.78 = 2,809.41/x
  3. Step 3: Cross multiply
    7,808.05x = 11,710.78 × 2,809.41
  4. Step 4: Simplify right side
    7,808.05x = 32,900,382.44
  5. Step 5: Solve for x
    x = 32,900,382.44/7,808.05
  6. Step 6: Final answer
    x = 4,213.65

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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.