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Finding the Fourth Proportional to 8,185.92, 11,284.62 and 6,508

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Solution

The fourth proportional to 8,185.92, 11,284.62 and 6,508 is: 8,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.92 : 11,284.62 = 6,508 : x
  2. Step 2: Convert to fraction form
    8,185.92/11,284.62 = 6,508/x
  3. Step 3: Cross multiply
    8,185.92x = 11,284.62 × 6,508
  4. Step 4: Simplify right side
    8,185.92x = 73,440,306.96
  5. Step 5: Solve for x
    x = 73,440,306.96/8,185.92
  6. Step 6: Final answer
    x = 8,971.54

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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.