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Finding the Fourth Proportional to 8,462.09, 11,670.08 and 5,474.81

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Solution

The fourth proportional to 8,462.09, 11,670.08 and 5,474.81 is: 7,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.09 : 11,670.08 = 5,474.81 : x
  2. Step 2: Convert to fraction form
    8,462.09/11,670.08 = 5,474.81/x
  3. Step 3: Cross multiply
    8,462.09x = 11,670.08 × 5,474.81
  4. Step 4: Simplify right side
    8,462.09x = 63,891,384.96
  5. Step 5: Solve for x
    x = 63,891,384.96/8,462.09
  6. Step 6: Final answer
    x = 7,550.31

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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.