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Finding the Fourth Proportional to 7,781.78, 10,738.94 and 4,245.07

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Solution

The fourth proportional to 7,781.78, 10,738.94 and 4,245.07 is: 5,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.78 : 10,738.94 = 4,245.07 : x
  2. Step 2: Convert to fraction form
    7,781.78/10,738.94 = 4,245.07/x
  3. Step 3: Cross multiply
    7,781.78x = 10,738.94 × 4,245.07
  4. Step 4: Simplify right side
    7,781.78x = 45,587,514.57
  5. Step 5: Solve for x
    x = 45,587,514.57/7,781.78
  6. Step 6: Final answer
    x = 5,858.24

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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.