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Finding the Fourth Proportional to 11,876.60, 17,795.70 and 7,486.20

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Solution

The fourth proportional to 11,876.60, 17,795.70 and 7,486.20 is: 11,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.60 : 17,795.70 = 7,486.20 : x
  2. Step 2: Convert to fraction form
    11,876.60/17,795.70 = 7,486.20/x
  3. Step 3: Cross multiply
    11,876.60x = 17,795.70 × 7,486.20
  4. Step 4: Simplify right side
    11,876.60x = 133,222,169.34
  5. Step 5: Solve for x
    x = 133,222,169.34/11,876.60
  6. Step 6: Final answer
    x = 11,217.20

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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.