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Finding the Fourth Proportional to 11,598.39, 16,005.67 and 6,293.23

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Solution

The fourth proportional to 11,598.39, 16,005.67 and 6,293.23 is: 8,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.39 : 16,005.67 = 6,293.23 : x
  2. Step 2: Convert to fraction form
    11,598.39/16,005.67 = 6,293.23/x
  3. Step 3: Cross multiply
    11,598.39x = 16,005.67 × 6,293.23
  4. Step 4: Simplify right side
    11,598.39x = 100,727,306.87
  5. Step 5: Solve for x
    x = 100,727,306.87/11,598.39
  6. Step 6: Final answer
    x = 8,684.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.