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Finding the Fourth Proportional to 8,174.17, 11,280.02 and 4,637.31

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Solution

The fourth proportional to 8,174.17, 11,280.02 and 4,637.31 is: 6,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.17 : 11,280.02 = 4,637.31 : x
  2. Step 2: Convert to fraction form
    8,174.17/11,280.02 = 4,637.31/x
  3. Step 3: Cross multiply
    8,174.17x = 11,280.02 × 4,637.31
  4. Step 4: Simplify right side
    8,174.17x = 52,308,949.55
  5. Step 5: Solve for x
    x = 52,308,949.55/8,174.17
  6. Step 6: Final answer
    x = 6,399.30

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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.