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Finding the Fourth Proportional to 8,296.22, 11,447.88 and 4,759.34

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Solution

The fourth proportional to 8,296.22, 11,447.88 and 4,759.34 is: 6,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.22 : 11,447.88 = 4,759.34 : x
  2. Step 2: Convert to fraction form
    8,296.22/11,447.88 = 4,759.34/x
  3. Step 3: Cross multiply
    8,296.22x = 11,447.88 × 4,759.34
  4. Step 4: Simplify right side
    8,296.22x = 54,484,353.20
  5. Step 5: Solve for x
    x = 54,484,353.20/8,296.22
  6. Step 6: Final answer
    x = 6,567.37

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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.