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Finding the Fourth Proportional to 7,717.26, 10,649.80 and 6,517.44

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Solution

The fourth proportional to 7,717.26, 10,649.80 and 6,517.44 is: 8,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.26 : 10,649.80 = 6,517.44 : x
  2. Step 2: Convert to fraction form
    7,717.26/10,649.80 = 6,517.44/x
  3. Step 3: Cross multiply
    7,717.26x = 10,649.80 × 6,517.44
  4. Step 4: Simplify right side
    7,717.26x = 69,409,432.51
  5. Step 5: Solve for x
    x = 69,409,432.51/7,717.26
  6. Step 6: Final answer
    x = 8,994.05

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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.