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Finding the Fourth Proportional to 8,268.99, 11,408.04 and 5,437.86

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Solution

The fourth proportional to 8,268.99, 11,408.04 and 5,437.86 is: 7,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.99 : 11,408.04 = 5,437.86 : x
  2. Step 2: Convert to fraction form
    8,268.99/11,408.04 = 5,437.86/x
  3. Step 3: Cross multiply
    8,268.99x = 11,408.04 × 5,437.86
  4. Step 4: Simplify right side
    8,268.99x = 62,035,324.39
  5. Step 5: Solve for x
    x = 62,035,324.39/8,268.99
  6. Step 6: Final answer
    x = 7,502.16

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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.