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Finding the Fourth Proportional to 8,389.68, 11,573.96 and 6,378.44

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Solution

The fourth proportional to 8,389.68, 11,573.96 and 6,378.44 is: 8,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.68 : 11,573.96 = 6,378.44 : x
  2. Step 2: Convert to fraction form
    8,389.68/11,573.96 = 6,378.44/x
  3. Step 3: Cross multiply
    8,389.68x = 11,573.96 × 6,378.44
  4. Step 4: Simplify right side
    8,389.68x = 73,823,809.42
  5. Step 5: Solve for x
    x = 73,823,809.42/8,389.68
  6. Step 6: Final answer
    x = 8,799.36

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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.