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Finding the Fourth Proportional to 8,111.34, 11,193.66 and 4,385.34

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Solution

The fourth proportional to 8,111.34, 11,193.66 and 4,385.34 is: 6,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.34 : 11,193.66 = 4,385.34 : x
  2. Step 2: Convert to fraction form
    8,111.34/11,193.66 = 4,385.34/x
  3. Step 3: Cross multiply
    8,111.34x = 11,193.66 × 4,385.34
  4. Step 4: Simplify right side
    8,111.34x = 49,088,004.94
  5. Step 5: Solve for x
    x = 49,088,004.94/8,111.34
  6. Step 6: Final answer
    x = 6,051.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.