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Finding the Fourth Proportional to 8,665.15, 11,954.70 and 5,682.64

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Solution

The fourth proportional to 8,665.15, 11,954.70 and 5,682.64 is: 7,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.15 : 11,954.70 = 5,682.64 : x
  2. Step 2: Convert to fraction form
    8,665.15/11,954.70 = 5,682.64/x
  3. Step 3: Cross multiply
    8,665.15x = 11,954.70 × 5,682.64
  4. Step 4: Simplify right side
    8,665.15x = 67,934,256.41
  5. Step 5: Solve for x
    x = 67,934,256.41/8,665.15
  6. Step 6: Final answer
    x = 7,839.94

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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.