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Finding the Fourth Proportional to 8,323.28, 12,484.80 and 2,083.26

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Solution

The fourth proportional to 8,323.28, 12,484.80 and 2,083.26 is: 3,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.28 : 12,484.80 = 2,083.26 : x
  2. Step 2: Convert to fraction form
    8,323.28/12,484.80 = 2,083.26/x
  3. Step 3: Cross multiply
    8,323.28x = 12,484.80 × 2,083.26
  4. Step 4: Simplify right side
    8,323.28x = 26,009,131.27
  5. Step 5: Solve for x
    x = 26,009,131.27/8,323.28
  6. Step 6: Final answer
    x = 3,124.87

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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.