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Finding the Fourth Proportional to 8,023.64, 11,072.82 and 4,487.08

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Solution

The fourth proportional to 8,023.64, 11,072.82 and 4,487.08 is: 6,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.64 : 11,072.82 = 4,487.08 : x
  2. Step 2: Convert to fraction form
    8,023.64/11,072.82 = 4,487.08/x
  3. Step 3: Cross multiply
    8,023.64x = 11,072.82 × 4,487.08
  4. Step 4: Simplify right side
    8,023.64x = 49,684,629.17
  5. Step 5: Solve for x
    x = 49,684,629.17/8,023.64
  6. Step 6: Final answer
    x = 6,192.28

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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.