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Finding the Fourth Proportional to 8,277.52, 11,422.20 and 6,709.36

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Solution

The fourth proportional to 8,277.52, 11,422.20 and 6,709.36 is: 9,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.52 : 11,422.20 = 6,709.36 : x
  2. Step 2: Convert to fraction form
    8,277.52/11,422.20 = 6,709.36/x
  3. Step 3: Cross multiply
    8,277.52x = 11,422.20 × 6,709.36
  4. Step 4: Simplify right side
    8,277.52x = 76,635,651.79
  5. Step 5: Solve for x
    x = 76,635,651.79/8,277.52
  6. Step 6: Final answer
    x = 9,258.29

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