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Finding the Fourth Proportional to 7,781.36, 10,731.20 and 5,796.88

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Solution

The fourth proportional to 7,781.36, 10,731.20 and 5,796.88 is: 7,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.36 : 10,731.20 = 5,796.88 : x
  2. Step 2: Convert to fraction form
    7,781.36/10,731.20 = 5,796.88/x
  3. Step 3: Cross multiply
    7,781.36x = 10,731.20 × 5,796.88
  4. Step 4: Simplify right side
    7,781.36x = 62,207,478.66
  5. Step 5: Solve for x
    x = 62,207,478.66/7,781.36
  6. Step 6: Final answer
    x = 7,994.42

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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.