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Finding the Fourth Proportional to 8,241.74, 11,371.62 and 4,656.77

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Solution

The fourth proportional to 8,241.74, 11,371.62 and 4,656.77 is: 6,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.74 : 11,371.62 = 4,656.77 : x
  2. Step 2: Convert to fraction form
    8,241.74/11,371.62 = 4,656.77/x
  3. Step 3: Cross multiply
    8,241.74x = 11,371.62 × 4,656.77
  4. Step 4: Simplify right side
    8,241.74x = 52,954,962.01
  5. Step 5: Solve for x
    x = 52,954,962.01/8,241.74
  6. Step 6: Final answer
    x = 6,425.22

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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.