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Finding the Fourth Proportional to 8,220.56, 11,344.68 and 4,683.68

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Solution

The fourth proportional to 8,220.56, 11,344.68 and 4,683.68 is: 6,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.56 : 11,344.68 = 4,683.68 : x
  2. Step 2: Convert to fraction form
    8,220.56/11,344.68 = 4,683.68/x
  3. Step 3: Cross multiply
    8,220.56x = 11,344.68 × 4,683.68
  4. Step 4: Simplify right side
    8,220.56x = 53,134,850.82
  5. Step 5: Solve for x
    x = 53,134,850.82/8,220.56
  6. Step 6: Final answer
    x = 6,463.65

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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.