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Finding the Fourth Proportional to 11,700.22, 16,147.74 and 7,399.62

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Solution

The fourth proportional to 11,700.22, 16,147.74 and 7,399.62 is: 10,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.22 : 16,147.74 = 7,399.62 : x
  2. Step 2: Convert to fraction form
    11,700.22/16,147.74 = 7,399.62/x
  3. Step 3: Cross multiply
    11,700.22x = 16,147.74 × 7,399.62
  4. Step 4: Simplify right side
    11,700.22x = 119,487,139.86
  5. Step 5: Solve for x
    x = 119,487,139.86/11,700.22
  6. Step 6: Final answer
    x = 10,212.38

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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.