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Finding the Fourth Proportional to 8,340.22, 11,496.27 and 6,569.02

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Solution

The fourth proportional to 8,340.22, 11,496.27 and 6,569.02 is: 9,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.22 : 11,496.27 = 6,569.02 : x
  2. Step 2: Convert to fraction form
    8,340.22/11,496.27 = 6,569.02/x
  3. Step 3: Cross multiply
    8,340.22x = 11,496.27 × 6,569.02
  4. Step 4: Simplify right side
    8,340.22x = 75,519,227.56
  5. Step 5: Solve for x
    x = 75,519,227.56/8,340.22
  6. Step 6: Final answer
    x = 9,054.82

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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.