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Finding the Fourth Proportional to 8,529.09, 11,747.37 and 7,411.29

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Solution

The fourth proportional to 8,529.09, 11,747.37 and 7,411.29 is: 10,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.09 : 11,747.37 = 7,411.29 : x
  2. Step 2: Convert to fraction form
    8,529.09/11,747.37 = 7,411.29/x
  3. Step 3: Cross multiply
    8,529.09x = 11,747.37 × 7,411.29
  4. Step 4: Simplify right side
    8,529.09x = 87,063,165.81
  5. Step 5: Solve for x
    x = 87,063,165.81/8,529.09
  6. Step 6: Final answer
    x = 10,207.79

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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.