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Finding the Fourth Proportional to 8,177.54, 11,284.67 and 4,640.67

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Solution

The fourth proportional to 8,177.54, 11,284.67 and 4,640.67 is: 6,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.54 : 11,284.67 = 4,640.67 : x
  2. Step 2: Convert to fraction form
    8,177.54/11,284.67 = 4,640.67/x
  3. Step 3: Cross multiply
    8,177.54x = 11,284.67 × 4,640.67
  4. Step 4: Simplify right side
    8,177.54x = 52,368,406.33
  5. Step 5: Solve for x
    x = 52,368,406.33/8,177.54
  6. Step 6: Final answer
    x = 6,403.94

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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.