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Finding the Fourth Proportional to 8,742.72, 13,046.46 and 7,808.22

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Solution

The fourth proportional to 8,742.72, 13,046.46 and 7,808.22 is: 11,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.72 : 13,046.46 = 7,808.22 : x
  2. Step 2: Convert to fraction form
    8,742.72/13,046.46 = 7,808.22/x
  3. Step 3: Cross multiply
    8,742.72x = 13,046.46 × 7,808.22
  4. Step 4: Simplify right side
    8,742.72x = 101,869,629.90
  5. Step 5: Solve for x
    x = 101,869,629.90/8,742.72
  6. Step 6: Final answer
    x = 11,651.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.