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Finding the Fourth Proportional to 8,149.58, 11,246.33 and 4,564.57

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Solution

The fourth proportional to 8,149.58, 11,246.33 and 4,564.57 is: 6,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.58 : 11,246.33 = 4,564.57 : x
  2. Step 2: Convert to fraction form
    8,149.58/11,246.33 = 4,564.57/x
  3. Step 3: Cross multiply
    8,149.58x = 11,246.33 × 4,564.57
  4. Step 4: Simplify right side
    8,149.58x = 51,334,660.53
  5. Step 5: Solve for x
    x = 51,334,660.53/8,149.58
  6. Step 6: Final answer
    x = 6,299.06

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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.