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Finding the Fourth Proportional to 8,537.92, 12,794.72 and 4,632.64

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Solution

The fourth proportional to 8,537.92, 12,794.72 and 4,632.64 is: 6,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.92 : 12,794.72 = 4,632.64 : x
  2. Step 2: Convert to fraction form
    8,537.92/12,794.72 = 4,632.64/x
  3. Step 3: Cross multiply
    8,537.92x = 12,794.72 × 4,632.64
  4. Step 4: Simplify right side
    8,537.92x = 59,273,331.66
  5. Step 5: Solve for x
    x = 59,273,331.66/8,537.92
  6. Step 6: Final answer
    x = 6,942.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.