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Finding the Fourth Proportional to 11,883.80, 17,808.60 and 6,678.68

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Solution

The fourth proportional to 11,883.80, 17,808.60 and 6,678.68 is: 10,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.80 : 17,808.60 = 6,678.68 : x
  2. Step 2: Convert to fraction form
    11,883.80/17,808.60 = 6,678.68/x
  3. Step 3: Cross multiply
    11,883.80x = 17,808.60 × 6,678.68
  4. Step 4: Simplify right side
    11,883.80x = 118,937,940.65
  5. Step 5: Solve for x
    x = 118,937,940.65/11,883.80
  6. Step 6: Final answer
    x = 10,008.41

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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.