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Finding the Fourth Proportional to 11,613.50, 17,406.17 and 5,360.50

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Solution

The fourth proportional to 11,613.50, 17,406.17 and 5,360.50 is: 8,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.50 : 17,406.17 = 5,360.50 : x
  2. Step 2: Convert to fraction form
    11,613.50/17,406.17 = 5,360.50/x
  3. Step 3: Cross multiply
    11,613.50x = 17,406.17 × 5,360.50
  4. Step 4: Simplify right side
    11,613.50x = 93,305,774.29
  5. Step 5: Solve for x
    x = 93,305,774.29/11,613.50
  6. Step 6: Final answer
    x = 8,034.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.