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Finding the Fourth Proportional to 8,186.74, 11,285.78 and 6,508.82

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Solution

The fourth proportional to 8,186.74, 11,285.78 and 6,508.82 is: 8,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.74 : 11,285.78 = 6,508.82 : x
  2. Step 2: Convert to fraction form
    8,186.74/11,285.78 = 6,508.82/x
  3. Step 3: Cross multiply
    8,186.74x = 11,285.78 × 6,508.82
  4. Step 4: Simplify right side
    8,186.74x = 73,457,106.25
  5. Step 5: Solve for x
    x = 73,457,106.25/8,186.74
  6. Step 6: Final answer
    x = 8,972.70

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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.