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Finding the Fourth Proportional to 8,239.24, 11,372.93 and 5,009.05

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Solution

The fourth proportional to 8,239.24, 11,372.93 and 5,009.05 is: 6,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.24 : 11,372.93 = 5,009.05 : x
  2. Step 2: Convert to fraction form
    8,239.24/11,372.93 = 5,009.05/x
  3. Step 3: Cross multiply
    8,239.24x = 11,372.93 × 5,009.05
  4. Step 4: Simplify right side
    8,239.24x = 56,967,575.02
  5. Step 5: Solve for x
    x = 56,967,575.02/8,239.24
  6. Step 6: Final answer
    x = 6,914.18

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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.