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Finding the Fourth Proportional to 8,263.54, 11,403.84 and 4,537.54

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Solution

The fourth proportional to 8,263.54, 11,403.84 and 4,537.54 is: 6,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.54 : 11,403.84 = 4,537.54 : x
  2. Step 2: Convert to fraction form
    8,263.54/11,403.84 = 4,537.54/x
  3. Step 3: Cross multiply
    8,263.54x = 11,403.84 × 4,537.54
  4. Step 4: Simplify right side
    8,263.54x = 51,745,380.15
  5. Step 5: Solve for x
    x = 51,745,380.15/8,263.54
  6. Step 6: Final answer
    x = 6,261.89

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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.