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Finding the Fourth Proportional to 10,708.89, 14,778.60 and 5,993.16

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Solution

The fourth proportional to 10,708.89, 14,778.60 and 5,993.16 is: 8,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.89 : 14,778.60 = 5,993.16 : x
  2. Step 2: Convert to fraction form
    10,708.89/14,778.60 = 5,993.16/x
  3. Step 3: Cross multiply
    10,708.89x = 14,778.60 × 5,993.16
  4. Step 4: Simplify right side
    10,708.89x = 88,570,514.38
  5. Step 5: Solve for x
    x = 88,570,514.38/10,708.89
  6. Step 6: Final answer
    x = 8,270.75

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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.