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Finding the Fourth Proportional to 7,781.76, 11,673.72 and 2,588.04

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Solution

The fourth proportional to 7,781.76, 11,673.72 and 2,588.04 is: 3,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.76 : 11,673.72 = 2,588.04 : x
  2. Step 2: Convert to fraction form
    7,781.76/11,673.72 = 2,588.04/x
  3. Step 3: Cross multiply
    7,781.76x = 11,673.72 × 2,588.04
  4. Step 4: Simplify right side
    7,781.76x = 30,212,054.31
  5. Step 5: Solve for x
    x = 30,212,054.31/7,781.76
  6. Step 6: Final answer
    x = 3,882.42

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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.