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Finding the Fourth Proportional to 8,026.24, 12,032.07 and 3,641.31

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Solution

The fourth proportional to 8,026.24, 12,032.07 and 3,641.31 is: 5,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.24 : 12,032.07 = 3,641.31 : x
  2. Step 2: Convert to fraction form
    8,026.24/12,032.07 = 3,641.31/x
  3. Step 3: Cross multiply
    8,026.24x = 12,032.07 × 3,641.31
  4. Step 4: Simplify right side
    8,026.24x = 43,812,496.81
  5. Step 5: Solve for x
    x = 43,812,496.81/8,026.24
  6. Step 6: Final answer
    x = 5,458.66

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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.