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Finding the Fourth Proportional to 8,267, 11,408.48 and 4,541.24

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Solution

The fourth proportional to 8,267, 11,408.48 and 4,541.24 is: 6,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267 : 11,408.48 = 4,541.24 : x
  2. Step 2: Convert to fraction form
    8,267/11,408.48 = 4,541.24/x
  3. Step 3: Cross multiply
    8,267x = 11,408.48 × 4,541.24
  4. Step 4: Simplify right side
    8,267x = 51,808,645.72
  5. Step 5: Solve for x
    x = 51,808,645.72/8,267
  6. Step 6: Final answer
    x = 6,266.92

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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.