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Finding the Fourth Proportional to 10,004.72, 14,963.13 and 8,167.64

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Solution

The fourth proportional to 10,004.72, 14,963.13 and 8,167.64 is: 12,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.72 : 14,963.13 = 8,167.64 : x
  2. Step 2: Convert to fraction form
    10,004.72/14,963.13 = 8,167.64/x
  3. Step 3: Cross multiply
    10,004.72x = 14,963.13 × 8,167.64
  4. Step 4: Simplify right side
    10,004.72x = 122,213,384.30
  5. Step 5: Solve for x
    x = 122,213,384.30/10,004.72
  6. Step 6: Final answer
    x = 12,215.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.