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Finding the Fourth Proportional to 8,255.12, 11,407.64 and 6,262.11

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Solution

The fourth proportional to 8,255.12, 11,407.64 and 6,262.11 is: 8,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.12 : 11,407.64 = 6,262.11 : x
  2. Step 2: Convert to fraction form
    8,255.12/11,407.64 = 6,262.11/x
  3. Step 3: Cross multiply
    8,255.12x = 11,407.64 × 6,262.11
  4. Step 4: Simplify right side
    8,255.12x = 71,435,865.21
  5. Step 5: Solve for x
    x = 71,435,865.21/8,255.12
  6. Step 6: Final answer
    x = 8,653.53

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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.