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Finding the Fourth Proportional to 8,399.08, 11,588.02 and 5,409.64

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Solution

The fourth proportional to 8,399.08, 11,588.02 and 5,409.64 is: 7,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.08 : 11,588.02 = 5,409.64 : x
  2. Step 2: Convert to fraction form
    8,399.08/11,588.02 = 5,409.64/x
  3. Step 3: Cross multiply
    8,399.08x = 11,588.02 × 5,409.64
  4. Step 4: Simplify right side
    8,399.08x = 62,687,016.51
  5. Step 5: Solve for x
    x = 62,687,016.51/8,399.08
  6. Step 6: Final answer
    x = 7,463.56

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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.