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Finding the Fourth Proportional to 8,297.86, 11,451.63 and 4,761.13

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Solution

The fourth proportional to 8,297.86, 11,451.63 and 4,761.13 is: 6,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.86 : 11,451.63 = 4,761.13 : x
  2. Step 2: Convert to fraction form
    8,297.86/11,451.63 = 4,761.13/x
  3. Step 3: Cross multiply
    8,297.86x = 11,451.63 × 4,761.13
  4. Step 4: Simplify right side
    8,297.86x = 54,522,699.14
  5. Step 5: Solve for x
    x = 54,522,699.14/8,297.86
  6. Step 6: Final answer
    x = 6,570.69

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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.