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Finding the Fourth Proportional to 10,675.90, 16,006.64 and 5,131.90

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Solution

The fourth proportional to 10,675.90, 16,006.64 and 5,131.90 is: 7,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.90 : 16,006.64 = 5,131.90 : x
  2. Step 2: Convert to fraction form
    10,675.90/16,006.64 = 5,131.90/x
  3. Step 3: Cross multiply
    10,675.90x = 16,006.64 × 5,131.90
  4. Step 4: Simplify right side
    10,675.90x = 82,144,475.82
  5. Step 5: Solve for x
    x = 82,144,475.82/10,675.90
  6. Step 6: Final answer
    x = 7,694.38

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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.