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Finding the Fourth Proportional to 11,107.76, 16,668.12 and 6,181.52

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Solution

The fourth proportional to 11,107.76, 16,668.12 and 6,181.52 is: 9,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.76 : 16,668.12 = 6,181.52 : x
  2. Step 2: Convert to fraction form
    11,107.76/16,668.12 = 6,181.52/x
  3. Step 3: Cross multiply
    11,107.76x = 16,668.12 × 6,181.52
  4. Step 4: Simplify right side
    11,107.76x = 103,034,317.14
  5. Step 5: Solve for x
    x = 103,034,317.14/11,107.76
  6. Step 6: Final answer
    x = 9,275.89

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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.