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Finding the Fourth Proportional to 8,022.75, 11,071.10 and 4,486.65

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Solution

The fourth proportional to 8,022.75, 11,071.10 and 4,486.65 is: 6,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.75 : 11,071.10 = 4,486.65 : x
  2. Step 2: Convert to fraction form
    8,022.75/11,071.10 = 4,486.65/x
  3. Step 3: Cross multiply
    8,022.75x = 11,071.10 × 4,486.65
  4. Step 4: Simplify right side
    8,022.75x = 49,672,095.28
  5. Step 5: Solve for x
    x = 49,672,095.28/8,022.75
  6. Step 6: Final answer
    x = 6,191.40

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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.