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Finding the Fourth Proportional to 11,675.70, 16,108.56 and 7,136.76

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Solution

The fourth proportional to 11,675.70, 16,108.56 and 7,136.76 is: 9,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.70 : 16,108.56 = 7,136.76 : x
  2. Step 2: Convert to fraction form
    11,675.70/16,108.56 = 7,136.76/x
  3. Step 3: Cross multiply
    11,675.70x = 16,108.56 × 7,136.76
  4. Step 4: Simplify right side
    11,675.70x = 114,962,926.67
  5. Step 5: Solve for x
    x = 114,962,926.67/11,675.70
  6. Step 6: Final answer
    x = 9,846.34

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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.