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Finding the Fourth Proportional to 11,092.68, 15,305.22 and 6,897.96

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Solution

The fourth proportional to 11,092.68, 15,305.22 and 6,897.96 is: 9,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.68 : 15,305.22 = 6,897.96 : x
  2. Step 2: Convert to fraction form
    11,092.68/15,305.22 = 6,897.96/x
  3. Step 3: Cross multiply
    11,092.68x = 15,305.22 × 6,897.96
  4. Step 4: Simplify right side
    11,092.68x = 105,574,795.35
  5. Step 5: Solve for x
    x = 105,574,795.35/11,092.68
  6. Step 6: Final answer
    x = 9,517.52

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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.