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Finding the Fourth Proportional to 7,777.08, 11,646.99 and 6,843.15

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Solution

The fourth proportional to 7,777.08, 11,646.99 and 6,843.15 is: 10,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.08 : 11,646.99 = 6,843.15 : x
  2. Step 2: Convert to fraction form
    7,777.08/11,646.99 = 6,843.15/x
  3. Step 3: Cross multiply
    7,777.08x = 11,646.99 × 6,843.15
  4. Step 4: Simplify right side
    7,777.08x = 79,702,099.62
  5. Step 5: Solve for x
    x = 79,702,099.62/7,777.08
  6. Step 6: Final answer
    x = 10,248.33

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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.