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Finding the Fourth Proportional to 11,566.17, 15,970.82 and 7,092.86

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Solution

The fourth proportional to 11,566.17, 15,970.82 and 7,092.86 is: 9,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.17 : 15,970.82 = 7,092.86 : x
  2. Step 2: Convert to fraction form
    11,566.17/15,970.82 = 7,092.86/x
  3. Step 3: Cross multiply
    11,566.17x = 15,970.82 × 7,092.86
  4. Step 4: Simplify right side
    11,566.17x = 113,278,675.03
  5. Step 5: Solve for x
    x = 113,278,675.03/11,566.17
  6. Step 6: Final answer
    x = 9,793.97

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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.