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Finding the Fourth Proportional to 8,360.53, 11,540 and 4,826.09

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Solution

The fourth proportional to 8,360.53, 11,540 and 4,826.09 is: 6,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360.53 : 11,540 = 4,826.09 : x
  2. Step 2: Convert to fraction form
    8,360.53/11,540 = 4,826.09/x
  3. Step 3: Cross multiply
    8,360.53x = 11,540 × 4,826.09
  4. Step 4: Simplify right side
    8,360.53x = 55,693,078.60
  5. Step 5: Solve for x
    x = 55,693,078.60/8,360.53
  6. Step 6: Final answer
    x = 6,661.43

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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.