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Finding the Fourth Proportional to 11,701.62, 16,155.38 and 7,617.29

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Solution

The fourth proportional to 11,701.62, 16,155.38 and 7,617.29 is: 10,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.62 : 16,155.38 = 7,617.29 : x
  2. Step 2: Convert to fraction form
    11,701.62/16,155.38 = 7,617.29/x
  3. Step 3: Cross multiply
    11,701.62x = 16,155.38 × 7,617.29
  4. Step 4: Simplify right side
    11,701.62x = 123,060,289.10
  5. Step 5: Solve for x
    x = 123,060,289.10/11,701.62
  6. Step 6: Final answer
    x = 10,516.52

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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.