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Finding the Fourth Proportional to 7,685.62, 11,511.87 and 5,206.84

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Solution

The fourth proportional to 7,685.62, 11,511.87 and 5,206.84 is: 7,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.62 : 11,511.87 = 5,206.84 : x
  2. Step 2: Convert to fraction form
    7,685.62/11,511.87 = 5,206.84/x
  3. Step 3: Cross multiply
    7,685.62x = 11,511.87 × 5,206.84
  4. Step 4: Simplify right side
    7,685.62x = 59,940,465.19
  5. Step 5: Solve for x
    x = 59,940,465.19/7,685.62
  6. Step 6: Final answer
    x = 7,799.04

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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.