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Finding the Fourth Proportional to 8,443.01, 11,640.43 and 5,785.67

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Solution

The fourth proportional to 8,443.01, 11,640.43 and 5,785.67 is: 7,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.01 : 11,640.43 = 5,785.67 : x
  2. Step 2: Convert to fraction form
    8,443.01/11,640.43 = 5,785.67/x
  3. Step 3: Cross multiply
    8,443.01x = 11,640.43 × 5,785.67
  4. Step 4: Simplify right side
    8,443.01x = 67,347,686.64
  5. Step 5: Solve for x
    x = 67,347,686.64/8,443.01
  6. Step 6: Final answer
    x = 7,976.74

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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.