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Finding the Fourth Proportional to 8,022.95, 11,071.43 and 4,486.16

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Solution

The fourth proportional to 8,022.95, 11,071.43 and 4,486.16 is: 6,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.95 : 11,071.43 = 4,486.16 : x
  2. Step 2: Convert to fraction form
    8,022.95/11,071.43 = 4,486.16/x
  3. Step 3: Cross multiply
    8,022.95x = 11,071.43 × 4,486.16
  4. Step 4: Simplify right side
    8,022.95x = 49,668,128.62
  5. Step 5: Solve for x
    x = 49,668,128.62/8,022.95
  6. Step 6: Final answer
    x = 6,190.76

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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.