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Finding the Fourth Proportional to 8,038.33, 12,032.23 and 5,524.81

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Solution

The fourth proportional to 8,038.33, 12,032.23 and 5,524.81 is: 8,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.33 : 12,032.23 = 5,524.81 : x
  2. Step 2: Convert to fraction form
    8,038.33/12,032.23 = 5,524.81/x
  3. Step 3: Cross multiply
    8,038.33x = 12,032.23 × 5,524.81
  4. Step 4: Simplify right side
    8,038.33x = 66,475,784.63
  5. Step 5: Solve for x
    x = 66,475,784.63/8,038.33
  6. Step 6: Final answer
    x = 8,269.85

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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.