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Finding the Fourth Proportional to 10,642.82, 14,687.34 and 5,927

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Solution

The fourth proportional to 10,642.82, 14,687.34 and 5,927 is: 8,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.82 : 14,687.34 = 5,927 : x
  2. Step 2: Convert to fraction form
    10,642.82/14,687.34 = 5,927/x
  3. Step 3: Cross multiply
    10,642.82x = 14,687.34 × 5,927
  4. Step 4: Simplify right side
    10,642.82x = 87,051,864.18
  5. Step 5: Solve for x
    x = 87,051,864.18/10,642.82
  6. Step 6: Final answer
    x = 8,179.40

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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.