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Finding the Fourth Proportional to 11,751.97, 16,216.70 and 6,715.19

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Solution

The fourth proportional to 11,751.97, 16,216.70 and 6,715.19 is: 9,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.97 : 16,216.70 = 6,715.19 : x
  2. Step 2: Convert to fraction form
    11,751.97/16,216.70 = 6,715.19/x
  3. Step 3: Cross multiply
    11,751.97x = 16,216.70 × 6,715.19
  4. Step 4: Simplify right side
    11,751.97x = 108,898,188.10
  5. Step 5: Solve for x
    x = 108,898,188.10/11,751.97
  6. Step 6: Final answer
    x = 9,266.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.