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Finding the Fourth Proportional to 8,308.02, 11,464.29 and 6,739.86

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Solution

The fourth proportional to 8,308.02, 11,464.29 and 6,739.86 is: 9,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.02 : 11,464.29 = 6,739.86 : x
  2. Step 2: Convert to fraction form
    8,308.02/11,464.29 = 6,739.86/x
  3. Step 3: Cross multiply
    8,308.02x = 11,464.29 × 6,739.86
  4. Step 4: Simplify right side
    8,308.02x = 77,267,709.60
  5. Step 5: Solve for x
    x = 77,267,709.60/8,308.02
  6. Step 6: Final answer
    x = 9,300.38

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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.