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Finding the Fourth Proportional to 8,583.21, 11,846.09 and 5,227.99

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Solution

The fourth proportional to 8,583.21, 11,846.09 and 5,227.99 is: 7,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.21 : 11,846.09 = 5,227.99 : x
  2. Step 2: Convert to fraction form
    8,583.21/11,846.09 = 5,227.99/x
  3. Step 3: Cross multiply
    8,583.21x = 11,846.09 × 5,227.99
  4. Step 4: Simplify right side
    8,583.21x = 61,931,223.51
  5. Step 5: Solve for x
    x = 61,931,223.51/8,583.21
  6. Step 6: Final answer
    x = 7,215.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.