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Finding the Fourth Proportional to 7,867.90, 11,803.56 and 3,921.31

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Solution

The fourth proportional to 7,867.90, 11,803.56 and 3,921.31 is: 5,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.90 : 11,803.56 = 3,921.31 : x
  2. Step 2: Convert to fraction form
    7,867.90/11,803.56 = 3,921.31/x
  3. Step 3: Cross multiply
    7,867.90x = 11,803.56 × 3,921.31
  4. Step 4: Simplify right side
    7,867.90x = 46,285,409.52
  5. Step 5: Solve for x
    x = 46,285,409.52/7,867.90
  6. Step 6: Final answer
    x = 5,882.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.