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Finding the Fourth Proportional to 8,309.43, 11,462.19 and 5,477.25

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Solution

The fourth proportional to 8,309.43, 11,462.19 and 5,477.25 is: 7,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.43 : 11,462.19 = 5,477.25 : x
  2. Step 2: Convert to fraction form
    8,309.43/11,462.19 = 5,477.25/x
  3. Step 3: Cross multiply
    8,309.43x = 11,462.19 × 5,477.25
  4. Step 4: Simplify right side
    8,309.43x = 62,781,280.18
  5. Step 5: Solve for x
    x = 62,781,280.18/8,309.43
  6. Step 6: Final answer
    x = 7,555.43

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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.