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Finding the Fourth Proportional to 11,085.80, 16,636.80 and 7,805.30

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Solution

The fourth proportional to 11,085.80, 16,636.80 and 7,805.30 is: 11,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.80 : 16,636.80 = 7,805.30 : x
  2. Step 2: Convert to fraction form
    11,085.80/16,636.80 = 7,805.30/x
  3. Step 3: Cross multiply
    11,085.80x = 16,636.80 × 7,805.30
  4. Step 4: Simplify right side
    11,085.80x = 129,855,215.04
  5. Step 5: Solve for x
    x = 129,855,215.04/11,085.80
  6. Step 6: Final answer
    x = 11,713.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.