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Finding the Fourth Proportional to 8,306.52, 11,462.22 and 6,738.36

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Solution

The fourth proportional to 8,306.52, 11,462.22 and 6,738.36 is: 9,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.52 : 11,462.22 = 6,738.36 : x
  2. Step 2: Convert to fraction form
    8,306.52/11,462.22 = 6,738.36/x
  3. Step 3: Cross multiply
    8,306.52x = 11,462.22 × 6,738.36
  4. Step 4: Simplify right side
    8,306.52x = 77,236,564.76
  5. Step 5: Solve for x
    x = 77,236,564.76/8,306.52
  6. Step 6: Final answer
    x = 9,298.31

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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.