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Finding the Fourth Proportional to 8,569.75, 11,826.44 and 6,056.29

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Solution

The fourth proportional to 8,569.75, 11,826.44 and 6,056.29 is: 8,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.75 : 11,826.44 = 6,056.29 : x
  2. Step 2: Convert to fraction form
    8,569.75/11,826.44 = 6,056.29/x
  3. Step 3: Cross multiply
    8,569.75x = 11,826.44 × 6,056.29
  4. Step 4: Simplify right side
    8,569.75x = 71,624,320.03
  5. Step 5: Solve for x
    x = 71,624,320.03/8,569.75
  6. Step 6: Final answer
    x = 8,357.81

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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.