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Finding the Fourth Proportional to 8,991.68, 12,416.31 and 5,640.26

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Solution

The fourth proportional to 8,991.68, 12,416.31 and 5,640.26 is: 7,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.68 : 12,416.31 = 5,640.26 : x
  2. Step 2: Convert to fraction form
    8,991.68/12,416.31 = 5,640.26/x
  3. Step 3: Cross multiply
    8,991.68x = 12,416.31 × 5,640.26
  4. Step 4: Simplify right side
    8,991.68x = 70,031,154.56
  5. Step 5: Solve for x
    x = 70,031,154.56/8,991.68
  6. Step 6: Final answer
    x = 7,788.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.