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Finding the Fourth Proportional to 8,410.36, 11,614.62 and 5,769.40

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Solution

The fourth proportional to 8,410.36, 11,614.62 and 5,769.40 is: 7,967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.36 : 11,614.62 = 5,769.40 : x
  2. Step 2: Convert to fraction form
    8,410.36/11,614.62 = 5,769.40/x
  3. Step 3: Cross multiply
    8,410.36x = 11,614.62 × 5,769.40
  4. Step 4: Simplify right side
    8,410.36x = 67,009,388.63
  5. Step 5: Solve for x
    x = 67,009,388.63/8,410.36
  6. Step 6: Final answer
    x = 7,967.48

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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.