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Finding the Fourth Proportional to 8,296.86, 11,445.92 and 5,463.48

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Solution

The fourth proportional to 8,296.86, 11,445.92 and 5,463.48 is: 7,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.86 : 11,445.92 = 5,463.48 : x
  2. Step 2: Convert to fraction form
    8,296.86/11,445.92 = 5,463.48/x
  3. Step 3: Cross multiply
    8,296.86x = 11,445.92 × 5,463.48
  4. Step 4: Simplify right side
    8,296.86x = 62,534,555.00
  5. Step 5: Solve for x
    x = 62,534,555.00/8,296.86
  6. Step 6: Final answer
    x = 7,537.14

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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.