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Finding the Fourth Proportional to 11,012.22, 15,193.16 and 6,293.16

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Solution

The fourth proportional to 11,012.22, 15,193.16 and 6,293.16 is: 8,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.22 : 15,193.16 = 6,293.16 : x
  2. Step 2: Convert to fraction form
    11,012.22/15,193.16 = 6,293.16/x
  3. Step 3: Cross multiply
    11,012.22x = 15,193.16 × 6,293.16
  4. Step 4: Simplify right side
    11,012.22x = 95,612,986.79
  5. Step 5: Solve for x
    x = 95,612,986.79/11,012.22
  6. Step 6: Final answer
    x = 8,682.44

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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.