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Finding the Fourth Proportional to 8,022.84, 11,070.09 and 4,486.08

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Solution

The fourth proportional to 8,022.84, 11,070.09 and 4,486.08 is: 6,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.84 : 11,070.09 = 4,486.08 : x
  2. Step 2: Convert to fraction form
    8,022.84/11,070.09 = 4,486.08/x
  3. Step 3: Cross multiply
    8,022.84x = 11,070.09 × 4,486.08
  4. Step 4: Simplify right side
    8,022.84x = 49,661,309.35
  5. Step 5: Solve for x
    x = 49,661,309.35/8,022.84
  6. Step 6: Final answer
    x = 6,189.99

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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.