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Finding the Fourth Proportional to 6,196.32, 8,562.48 and 5,023.44

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Solution

The fourth proportional to 6,196.32, 8,562.48 and 5,023.44 is: 6,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.32 : 8,562.48 = 5,023.44 : x
  2. Step 2: Convert to fraction form
    6,196.32/8,562.48 = 5,023.44/x
  3. Step 3: Cross multiply
    6,196.32x = 8,562.48 × 5,023.44
  4. Step 4: Simplify right side
    6,196.32x = 43,013,104.53
  5. Step 5: Solve for x
    x = 43,013,104.53/6,196.32
  6. Step 6: Final answer
    x = 6,941.72

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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.