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Finding the Fourth Proportional to 8,022.86, 11,071.32 and 4,486.40

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Solution

The fourth proportional to 8,022.86, 11,071.32 and 4,486.40 is: 6,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.86 : 11,071.32 = 4,486.40 : x
  2. Step 2: Convert to fraction form
    8,022.86/11,071.32 = 4,486.40/x
  3. Step 3: Cross multiply
    8,022.86x = 11,071.32 × 4,486.40
  4. Step 4: Simplify right side
    8,022.86x = 49,670,370.05
  5. Step 5: Solve for x
    x = 49,670,370.05/8,022.86
  6. Step 6: Final answer
    x = 6,191.11

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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.