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Finding the Fourth Proportional to 8,215.31, 11,344.71 and 7,714.73

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Solution

The fourth proportional to 8,215.31, 11,344.71 and 7,714.73 is: 10,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.31 : 11,344.71 = 7,714.73 : x
  2. Step 2: Convert to fraction form
    8,215.31/11,344.71 = 7,714.73/x
  3. Step 3: Cross multiply
    8,215.31x = 11,344.71 × 7,714.73
  4. Step 4: Simplify right side
    8,215.31x = 87,521,317.85
  5. Step 5: Solve for x
    x = 87,521,317.85/8,215.31
  6. Step 6: Final answer
    x = 10,653.45

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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.