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Finding the Fourth Proportional to 7,873.23, 11,809.82 and 5,400.54

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Solution

The fourth proportional to 7,873.23, 11,809.82 and 5,400.54 is: 8,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.23 : 11,809.82 = 5,400.54 : x
  2. Step 2: Convert to fraction form
    7,873.23/11,809.82 = 5,400.54/x
  3. Step 3: Cross multiply
    7,873.23x = 11,809.82 × 5,400.54
  4. Step 4: Simplify right side
    7,873.23x = 63,779,378.30
  5. Step 5: Solve for x
    x = 63,779,378.30/7,873.23
  6. Step 6: Final answer
    x = 8,100.79

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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.