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Finding the Fourth Proportional to 10,853.17, 16,261.19 and 5,926.28

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Solution

The fourth proportional to 10,853.17, 16,261.19 and 5,926.28 is: 8,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.17 : 16,261.19 = 5,926.28 : x
  2. Step 2: Convert to fraction form
    10,853.17/16,261.19 = 5,926.28/x
  3. Step 3: Cross multiply
    10,853.17x = 16,261.19 × 5,926.28
  4. Step 4: Simplify right side
    10,853.17x = 96,368,365.07
  5. Step 5: Solve for x
    x = 96,368,365.07/10,853.17
  6. Step 6: Final answer
    x = 8,879.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.