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Finding the Fourth Proportional to 8,288.83, 11,438.22 and 4,512

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Solution

The fourth proportional to 8,288.83, 11,438.22 and 4,512 is: 6,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.83 : 11,438.22 = 4,512 : x
  2. Step 2: Convert to fraction form
    8,288.83/11,438.22 = 4,512/x
  3. Step 3: Cross multiply
    8,288.83x = 11,438.22 × 4,512
  4. Step 4: Simplify right side
    8,288.83x = 51,609,248.64
  5. Step 5: Solve for x
    x = 51,609,248.64/8,288.83
  6. Step 6: Final answer
    x = 6,226.36

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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.