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Finding the Fourth Proportional to 8,220.68, 11,366.16 and 7,853.48

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Solution

The fourth proportional to 8,220.68, 11,366.16 and 7,853.48 is: 10,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.68 : 11,366.16 = 7,853.48 : x
  2. Step 2: Convert to fraction form
    8,220.68/11,366.16 = 7,853.48/x
  3. Step 3: Cross multiply
    8,220.68x = 11,366.16 × 7,853.48
  4. Step 4: Simplify right side
    8,220.68x = 89,263,910.24
  5. Step 5: Solve for x
    x = 89,263,910.24/8,220.68
  6. Step 6: Final answer
    x = 10,858.46

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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.