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Finding the Fourth Proportional to 11,668.84, 16,105.60 and 7,419.08

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Solution

The fourth proportional to 11,668.84, 16,105.60 and 7,419.08 is: 10,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.84 : 16,105.60 = 7,419.08 : x
  2. Step 2: Convert to fraction form
    11,668.84/16,105.60 = 7,419.08/x
  3. Step 3: Cross multiply
    11,668.84x = 16,105.60 × 7,419.08
  4. Step 4: Simplify right side
    11,668.84x = 119,488,734.85
  5. Step 5: Solve for x
    x = 119,488,734.85/11,668.84
  6. Step 6: Final answer
    x = 10,239.98

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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.