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Finding the Fourth Proportional to 11,896.50, 16,417.17 and 7,180.79

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Solution

The fourth proportional to 11,896.50, 16,417.17 and 7,180.79 is: 9,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.50 : 16,417.17 = 7,180.79 : x
  2. Step 2: Convert to fraction form
    11,896.50/16,417.17 = 7,180.79/x
  3. Step 3: Cross multiply
    11,896.50x = 16,417.17 × 7,180.79
  4. Step 4: Simplify right side
    11,896.50x = 117,888,250.16
  5. Step 5: Solve for x
    x = 117,888,250.16/11,896.50
  6. Step 6: Final answer
    x = 9,909.49

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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.