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Finding the Fourth Proportional to 11,109.71, 16,668.68 and 5,189.93

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Solution

The fourth proportional to 11,109.71, 16,668.68 and 5,189.93 is: 7,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.71 : 16,668.68 = 5,189.93 : x
  2. Step 2: Convert to fraction form
    11,109.71/16,668.68 = 5,189.93/x
  3. Step 3: Cross multiply
    11,109.71x = 16,668.68 × 5,189.93
  4. Step 4: Simplify right side
    11,109.71x = 86,509,298.11
  5. Step 5: Solve for x
    x = 86,509,298.11/11,109.71
  6. Step 6: Final answer
    x = 7,786.82

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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.