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Finding the Fourth Proportional to 11,107.72, 16,642.14 and 6,481

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Solution

The fourth proportional to 11,107.72, 16,642.14 and 6,481 is: 9,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.72 : 16,642.14 = 6,481 : x
  2. Step 2: Convert to fraction form
    11,107.72/16,642.14 = 6,481/x
  3. Step 3: Cross multiply
    11,107.72x = 16,642.14 × 6,481
  4. Step 4: Simplify right side
    11,107.72x = 107,857,709.34
  5. Step 5: Solve for x
    x = 107,857,709.34/11,107.72
  6. Step 6: Final answer
    x = 9,710.16

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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.