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Finding the Fourth Proportional to 8,064.77, 12,091.10 and 5,814.43

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Solution

The fourth proportional to 8,064.77, 12,091.10 and 5,814.43 is: 8,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.77 : 12,091.10 = 5,814.43 : x
  2. Step 2: Convert to fraction form
    8,064.77/12,091.10 = 5,814.43/x
  3. Step 3: Cross multiply
    8,064.77x = 12,091.10 × 5,814.43
  4. Step 4: Simplify right side
    8,064.77x = 70,302,795.27
  5. Step 5: Solve for x
    x = 70,302,795.27/8,064.77
  6. Step 6: Final answer
    x = 8,717.28

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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.