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Finding the Fourth Proportional to 10,552.72, 14,562.96 and 5,837.44

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Solution

The fourth proportional to 10,552.72, 14,562.96 and 5,837.44 is: 8,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.72 : 14,562.96 = 5,837.44 : x
  2. Step 2: Convert to fraction form
    10,552.72/14,562.96 = 5,837.44/x
  3. Step 3: Cross multiply
    10,552.72x = 14,562.96 × 5,837.44
  4. Step 4: Simplify right side
    10,552.72x = 85,010,405.22
  5. Step 5: Solve for x
    x = 85,010,405.22/10,552.72
  6. Step 6: Final answer
    x = 8,055.78

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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.