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Finding the Fourth Proportional to 8,047, 12,069.96 and 2,203.66

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Solution

The fourth proportional to 8,047, 12,069.96 and 2,203.66 is: 3,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047 : 12,069.96 = 2,203.66 : x
  2. Step 2: Convert to fraction form
    8,047/12,069.96 = 2,203.66/x
  3. Step 3: Cross multiply
    8,047x = 12,069.96 × 2,203.66
  4. Step 4: Simplify right side
    8,047x = 26,598,088.05
  5. Step 5: Solve for x
    x = 26,598,088.05/8,047
  6. Step 6: Final answer
    x = 3,305.34

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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.