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Finding the Fourth Proportional to 12,077.96, 16,668.66 and 7,109

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Solution

The fourth proportional to 12,077.96, 16,668.66 and 7,109 is: 9,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.96 : 16,668.66 = 7,109 : x
  2. Step 2: Convert to fraction form
    12,077.96/16,668.66 = 7,109/x
  3. Step 3: Cross multiply
    12,077.96x = 16,668.66 × 7,109
  4. Step 4: Simplify right side
    12,077.96x = 118,497,503.94
  5. Step 5: Solve for x
    x = 118,497,503.94/12,077.96
  6. Step 6: Final answer
    x = 9,811.05

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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.