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Finding the Fourth Proportional to 8,176.50, 12,208.91 and 6,712.02

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Solution

The fourth proportional to 8,176.50, 12,208.91 and 6,712.02 is: 10,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.50 : 12,208.91 = 6,712.02 : x
  2. Step 2: Convert to fraction form
    8,176.50/12,208.91 = 6,712.02/x
  3. Step 3: Cross multiply
    8,176.50x = 12,208.91 × 6,712.02
  4. Step 4: Simplify right side
    8,176.50x = 81,946,414.54
  5. Step 5: Solve for x
    x = 81,946,414.54/8,176.50
  6. Step 6: Final answer
    x = 10,022.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.