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Finding the Fourth Proportional to 8,241.30, 11,374.86 and 6,445.24

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Solution

The fourth proportional to 8,241.30, 11,374.86 and 6,445.24 is: 8,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.30 : 11,374.86 = 6,445.24 : x
  2. Step 2: Convert to fraction form
    8,241.30/11,374.86 = 6,445.24/x
  3. Step 3: Cross multiply
    8,241.30x = 11,374.86 × 6,445.24
  4. Step 4: Simplify right side
    8,241.30x = 73,313,645.79
  5. Step 5: Solve for x
    x = 73,313,645.79/8,241.30
  6. Step 6: Final answer
    x = 8,895.89

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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.