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Finding the Fourth Proportional to 11,908.60, 16,425.66 and 7,186.84

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Solution

The fourth proportional to 11,908.60, 16,425.66 and 7,186.84 is: 9,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.60 : 16,425.66 = 7,186.84 : x
  2. Step 2: Convert to fraction form
    11,908.60/16,425.66 = 7,186.84/x
  3. Step 3: Cross multiply
    11,908.60x = 16,425.66 × 7,186.84
  4. Step 4: Simplify right side
    11,908.60x = 118,048,590.31
  5. Step 5: Solve for x
    x = 118,048,590.31/11,908.60
  6. Step 6: Final answer
    x = 9,912.89

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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.