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Finding the Fourth Proportional to 8,256.74, 11,385.77 and 5,741.69

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Solution

The fourth proportional to 8,256.74, 11,385.77 and 5,741.69 is: 7,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.74 : 11,385.77 = 5,741.69 : x
  2. Step 2: Convert to fraction form
    8,256.74/11,385.77 = 5,741.69/x
  3. Step 3: Cross multiply
    8,256.74x = 11,385.77 × 5,741.69
  4. Step 4: Simplify right side
    8,256.74x = 65,373,476.11
  5. Step 5: Solve for x
    x = 65,373,476.11/8,256.74
  6. Step 6: Final answer
    x = 7,917.59

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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.