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Finding the Fourth Proportional to 8,369.19, 11,542.97 and 5,011.34

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Solution

The fourth proportional to 8,369.19, 11,542.97 and 5,011.34 is: 6,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.19 : 11,542.97 = 5,011.34 : x
  2. Step 2: Convert to fraction form
    8,369.19/11,542.97 = 5,011.34/x
  3. Step 3: Cross multiply
    8,369.19x = 11,542.97 × 5,011.34
  4. Step 4: Simplify right side
    8,369.19x = 57,845,702.09
  5. Step 5: Solve for x
    x = 57,845,702.09/8,369.19
  6. Step 6: Final answer
    x = 6,911.74

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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.