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Finding the Fourth Proportional to 8,092.86, 11,166.12 and 6,206.40

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Solution

The fourth proportional to 8,092.86, 11,166.12 and 6,206.40 is: 8,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.86 : 11,166.12 = 6,206.40 : x
  2. Step 2: Convert to fraction form
    8,092.86/11,166.12 = 6,206.40/x
  3. Step 3: Cross multiply
    8,092.86x = 11,166.12 × 6,206.40
  4. Step 4: Simplify right side
    8,092.86x = 69,301,407.17
  5. Step 5: Solve for x
    x = 69,301,407.17/8,092.86
  6. Step 6: Final answer
    x = 8,563.28

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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.