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Finding the Fourth Proportional to 8,468.66, 11,682.86 and 5,485.46

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Solution

The fourth proportional to 8,468.66, 11,682.86 and 5,485.46 is: 7,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.66 : 11,682.86 = 5,485.46 : x
  2. Step 2: Convert to fraction form
    8,468.66/11,682.86 = 5,485.46/x
  3. Step 3: Cross multiply
    8,468.66x = 11,682.86 × 5,485.46
  4. Step 4: Simplify right side
    8,468.66x = 64,085,861.22
  5. Step 5: Solve for x
    x = 64,085,861.22/8,468.66
  6. Step 6: Final answer
    x = 7,567.41

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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.