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Finding the Fourth Proportional to 11,883.24, 17,807.85 and 6,678.18

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Solution

The fourth proportional to 11,883.24, 17,807.85 and 6,678.18 is: 10,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.24 : 17,807.85 = 6,678.18 : x
  2. Step 2: Convert to fraction form
    11,883.24/17,807.85 = 6,678.18/x
  3. Step 3: Cross multiply
    11,883.24x = 17,807.85 × 6,678.18
  4. Step 4: Simplify right side
    11,883.24x = 118,924,027.71
  5. Step 5: Solve for x
    x = 118,924,027.71/11,883.24
  6. Step 6: Final answer
    x = 10,007.71

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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.