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Finding the Fourth Proportional to 8,017.20, 11,062.68 and 4,614

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Solution

The fourth proportional to 8,017.20, 11,062.68 and 4,614 is: 6,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.20 : 11,062.68 = 4,614 : x
  2. Step 2: Convert to fraction form
    8,017.20/11,062.68 = 4,614/x
  3. Step 3: Cross multiply
    8,017.20x = 11,062.68 × 4,614
  4. Step 4: Simplify right side
    8,017.20x = 51,043,205.52
  5. Step 5: Solve for x
    x = 51,043,205.52/8,017.20
  6. Step 6: Final answer
    x = 6,366.71

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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.