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Finding the Fourth Proportional to 8,297.54, 11,449.76 and 5,110.34

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Solution

The fourth proportional to 8,297.54, 11,449.76 and 5,110.34 is: 7,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.54 : 11,449.76 = 5,110.34 : x
  2. Step 2: Convert to fraction form
    8,297.54/11,449.76 = 5,110.34/x
  3. Step 3: Cross multiply
    8,297.54x = 11,449.76 × 5,110.34
  4. Step 4: Simplify right side
    8,297.54x = 58,512,148.12
  5. Step 5: Solve for x
    x = 58,512,148.12/8,297.54
  6. Step 6: Final answer
    x = 7,051.75

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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.