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Finding the Fourth Proportional to 8,440.24, 11,643.96 and 5,646.64

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Solution

The fourth proportional to 8,440.24, 11,643.96 and 5,646.64 is: 7,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.24 : 11,643.96 = 5,646.64 : x
  2. Step 2: Convert to fraction form
    8,440.24/11,643.96 = 5,646.64/x
  3. Step 3: Cross multiply
    8,440.24x = 11,643.96 × 5,646.64
  4. Step 4: Simplify right side
    8,440.24x = 65,749,250.29
  5. Step 5: Solve for x
    x = 65,749,250.29/8,440.24
  6. Step 6: Final answer
    x = 7,789.97

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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.