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Finding the Fourth Proportional to 8,422, 11,622.44 and 4,696.08

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Solution

The fourth proportional to 8,422, 11,622.44 and 4,696.08 is: 6,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422 : 11,622.44 = 4,696.08 : x
  2. Step 2: Convert to fraction form
    8,422/11,622.44 = 4,696.08/x
  3. Step 3: Cross multiply
    8,422x = 11,622.44 × 4,696.08
  4. Step 4: Simplify right side
    8,422x = 54,579,908.04
  5. Step 5: Solve for x
    x = 54,579,908.04/8,422
  6. Step 6: Final answer
    x = 6,480.64

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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.