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Finding the Fourth Proportional to 7,781.69, 10,735.25 and 4,796.43

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Solution

The fourth proportional to 7,781.69, 10,735.25 and 4,796.43 is: 6,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.69 : 10,735.25 = 4,796.43 : x
  2. Step 2: Convert to fraction form
    7,781.69/10,735.25 = 4,796.43/x
  3. Step 3: Cross multiply
    7,781.69x = 10,735.25 × 4,796.43
  4. Step 4: Simplify right side
    7,781.69x = 51,490,851.18
  5. Step 5: Solve for x
    x = 51,490,851.18/7,781.69
  6. Step 6: Final answer
    x = 6,616.93

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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.