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Finding the Fourth Proportional to 10,552.86, 14,562.86 and 5,837.04

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Solution

The fourth proportional to 10,552.86, 14,562.86 and 5,837.04 is: 8,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.86 : 14,562.86 = 5,837.04 : x
  2. Step 2: Convert to fraction form
    10,552.86/14,562.86 = 5,837.04/x
  3. Step 3: Cross multiply
    10,552.86x = 14,562.86 × 5,837.04
  4. Step 4: Simplify right side
    10,552.86x = 85,003,967.15
  5. Step 5: Solve for x
    x = 85,003,967.15/10,552.86
  6. Step 6: Final answer
    x = 8,055.06

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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.