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Finding the Fourth Proportional to 8,569.84, 11,826.50 and 5,033.12

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Solution

The fourth proportional to 8,569.84, 11,826.50 and 5,033.12 is: 6,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.84 : 11,826.50 = 5,033.12 : x
  2. Step 2: Convert to fraction form
    8,569.84/11,826.50 = 5,033.12/x
  3. Step 3: Cross multiply
    8,569.84x = 11,826.50 × 5,033.12
  4. Step 4: Simplify right side
    8,569.84x = 59,524,193.68
  5. Step 5: Solve for x
    x = 59,524,193.68/8,569.84
  6. Step 6: Final answer
    x = 6,945.78

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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.