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Finding the Fourth Proportional to 7,661.86, 11,491.57 and 3,499.27

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Solution

The fourth proportional to 7,661.86, 11,491.57 and 3,499.27 is: 5,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.86 : 11,491.57 = 3,499.27 : x
  2. Step 2: Convert to fraction form
    7,661.86/11,491.57 = 3,499.27/x
  3. Step 3: Cross multiply
    7,661.86x = 11,491.57 × 3,499.27
  4. Step 4: Simplify right side
    7,661.86x = 40,212,081.80
  5. Step 5: Solve for x
    x = 40,212,081.80/7,661.86
  6. Step 6: Final answer
    x = 5,248.35

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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.