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Finding the Fourth Proportional to 10,675.17, 16,004.43 and 6,514.43

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Solution

The fourth proportional to 10,675.17, 16,004.43 and 6,514.43 is: 9,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.17 : 16,004.43 = 6,514.43 : x
  2. Step 2: Convert to fraction form
    10,675.17/16,004.43 = 6,514.43/x
  3. Step 3: Cross multiply
    10,675.17x = 16,004.43 × 6,514.43
  4. Step 4: Simplify right side
    10,675.17x = 104,259,658.90
  5. Step 5: Solve for x
    x = 104,259,658.90/10,675.17
  6. Step 6: Final answer
    x = 9,766.56

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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.