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Finding the Fourth Proportional to 7,781.95, 10,739.34 and 4,425.31

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Solution

The fourth proportional to 7,781.95, 10,739.34 and 4,425.31 is: 6,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.95 : 10,739.34 = 4,425.31 : x
  2. Step 2: Convert to fraction form
    7,781.95/10,739.34 = 4,425.31/x
  3. Step 3: Cross multiply
    7,781.95x = 10,739.34 × 4,425.31
  4. Step 4: Simplify right side
    7,781.95x = 47,524,908.70
  5. Step 5: Solve for x
    x = 47,524,908.70/7,781.95
  6. Step 6: Final answer
    x = 6,107.07

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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.