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Finding the Fourth Proportional to 11,785.86, 17,686.89 and 4,396.23

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Solution

The fourth proportional to 11,785.86, 17,686.89 and 4,396.23 is: 6,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.86 : 17,686.89 = 4,396.23 : x
  2. Step 2: Convert to fraction form
    11,785.86/17,686.89 = 4,396.23/x
  3. Step 3: Cross multiply
    11,785.86x = 17,686.89 × 4,396.23
  4. Step 4: Simplify right side
    11,785.86x = 77,755,636.42
  5. Step 5: Solve for x
    x = 77,755,636.42/11,785.86
  6. Step 6: Final answer
    x = 6,597.37

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