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Finding the Fourth Proportional to 8,323.77, 12,475.26 and 5,354.31

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Solution

The fourth proportional to 8,323.77, 12,475.26 and 5,354.31 is: 8,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.77 : 12,475.26 = 5,354.31 : x
  2. Step 2: Convert to fraction form
    8,323.77/12,475.26 = 5,354.31/x
  3. Step 3: Cross multiply
    8,323.77x = 12,475.26 × 5,354.31
  4. Step 4: Simplify right side
    8,323.77x = 66,796,409.37
  5. Step 5: Solve for x
    x = 66,796,409.37/8,323.77
  6. Step 6: Final answer
    x = 8,024.78

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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.