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Finding the Fourth Proportional to 8,306.25, 11,449.26 and 6,064.58

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Solution

The fourth proportional to 8,306.25, 11,449.26 and 6,064.58 is: 8,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.25 : 11,449.26 = 6,064.58 : x
  2. Step 2: Convert to fraction form
    8,306.25/11,449.26 = 6,064.58/x
  3. Step 3: Cross multiply
    8,306.25x = 11,449.26 × 6,064.58
  4. Step 4: Simplify right side
    8,306.25x = 69,434,895.96
  5. Step 5: Solve for x
    x = 69,434,895.96/8,306.25
  6. Step 6: Final answer
    x = 8,359.36

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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.