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Finding the Fourth Proportional to 8,814.49, 13,221.74 and 5,142.36

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Solution

The fourth proportional to 8,814.49, 13,221.74 and 5,142.36 is: 7,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.49 : 13,221.74 = 5,142.36 : x
  2. Step 2: Convert to fraction form
    8,814.49/13,221.74 = 5,142.36/x
  3. Step 3: Cross multiply
    8,814.49x = 13,221.74 × 5,142.36
  4. Step 4: Simplify right side
    8,814.49x = 67,990,946.91
  5. Step 5: Solve for x
    x = 67,990,946.91/8,814.49
  6. Step 6: Final answer
    x = 7,713.54

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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.