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Finding the Fourth Proportional to 7,810, 10,777.65 and 4,273.13

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Solution

The fourth proportional to 7,810, 10,777.65 and 4,273.13 is: 5,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810 : 10,777.65 = 4,273.13 : x
  2. Step 2: Convert to fraction form
    7,810/10,777.65 = 4,273.13/x
  3. Step 3: Cross multiply
    7,810x = 10,777.65 × 4,273.13
  4. Step 4: Simplify right side
    7,810x = 46,054,299.54
  5. Step 5: Solve for x
    x = 46,054,299.54/7,810
  6. Step 6: Final answer
    x = 5,896.84

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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.