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Finding the Fourth Proportional to 8,111.49, 11,194.52 and 4,575.44

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Solution

The fourth proportional to 8,111.49, 11,194.52 and 4,575.44 is: 6,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.49 : 11,194.52 = 4,575.44 : x
  2. Step 2: Convert to fraction form
    8,111.49/11,194.52 = 4,575.44/x
  3. Step 3: Cross multiply
    8,111.49x = 11,194.52 × 4,575.44
  4. Step 4: Simplify right side
    8,111.49x = 51,219,775.74
  5. Step 5: Solve for x
    x = 51,219,775.74/8,111.49
  6. Step 6: Final answer
    x = 6,314.47

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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.