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Finding the Fourth Proportional to 8,071.32, 11,138.41 and 4,486.16

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Solution

The fourth proportional to 8,071.32, 11,138.41 and 4,486.16 is: 6,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.32 : 11,138.41 = 4,486.16 : x
  2. Step 2: Convert to fraction form
    8,071.32/11,138.41 = 4,486.16/x
  3. Step 3: Cross multiply
    8,071.32x = 11,138.41 × 4,486.16
  4. Step 4: Simplify right side
    8,071.32x = 49,968,735.57
  5. Step 5: Solve for x
    x = 49,968,735.57/8,071.32
  6. Step 6: Final answer
    x = 6,190.90

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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.