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Finding the Fourth Proportional to 10,216.38, 15,297.82 and 6,695.31

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Solution

The fourth proportional to 10,216.38, 15,297.82 and 6,695.31 is: 10,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.38 : 15,297.82 = 6,695.31 : x
  2. Step 2: Convert to fraction form
    10,216.38/15,297.82 = 6,695.31/x
  3. Step 3: Cross multiply
    10,216.38x = 15,297.82 × 6,695.31
  4. Step 4: Simplify right side
    10,216.38x = 102,423,647.22
  5. Step 5: Solve for x
    x = 102,423,647.22/10,216.38
  6. Step 6: Final answer
    x = 10,025.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.