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Finding the Fourth Proportional to 8,322.84, 11,485.62 and 4,546.13

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Solution

The fourth proportional to 8,322.84, 11,485.62 and 4,546.13 is: 6,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.84 : 11,485.62 = 4,546.13 : x
  2. Step 2: Convert to fraction form
    8,322.84/11,485.62 = 4,546.13/x
  3. Step 3: Cross multiply
    8,322.84x = 11,485.62 × 4,546.13
  4. Step 4: Simplify right side
    8,322.84x = 52,215,064.22
  5. Step 5: Solve for x
    x = 52,215,064.22/8,322.84
  6. Step 6: Final answer
    x = 6,273.71

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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.