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Finding the Fourth Proportional to 7,781.73, 10,738.87 and 4,245.00

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Solution

The fourth proportional to 7,781.73, 10,738.87 and 4,245.00 is: 5,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.73 : 10,738.87 = 4,245.00 : x
  2. Step 2: Convert to fraction form
    7,781.73/10,738.87 = 4,245.00/x
  3. Step 3: Cross multiply
    7,781.73x = 10,738.87 × 4,245.00
  4. Step 4: Simplify right side
    7,781.73x = 45,586,449.46
  5. Step 5: Solve for x
    x = 45,586,449.46/7,781.73
  6. Step 6: Final answer
    x = 5,858.14

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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.