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Finding the Fourth Proportional to 8,222.72, 11,346.54 and 4,685.72

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Solution

The fourth proportional to 8,222.72, 11,346.54 and 4,685.72 is: 6,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.72 : 11,346.54 = 4,685.72 : x
  2. Step 2: Convert to fraction form
    8,222.72/11,346.54 = 4,685.72/x
  3. Step 3: Cross multiply
    8,222.72x = 11,346.54 × 4,685.72
  4. Step 4: Simplify right side
    8,222.72x = 53,166,709.41
  5. Step 5: Solve for x
    x = 53,166,709.41/8,222.72
  6. Step 6: Final answer
    x = 6,465.83

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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.