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Finding the Fourth Proportional to 13,027, 19,541.04 and 3,793

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Solution

The fourth proportional to 13,027, 19,541.04 and 3,793 is: 5,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027 : 19,541.04 = 3,793 : x
  2. Step 2: Convert to fraction form
    13,027/19,541.04 = 3,793/x
  3. Step 3: Cross multiply
    13,027x = 19,541.04 × 3,793
  4. Step 4: Simplify right side
    13,027x = 74,119,164.72
  5. Step 5: Solve for x
    x = 74,119,164.72/13,027
  6. Step 6: Final answer
    x = 5,689.66

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Why These Related Problems?

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