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Finding the Fourth Proportional to 11,883.83, 16,401.42 and 6,847.07

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Solution

The fourth proportional to 11,883.83, 16,401.42 and 6,847.07 is: 9,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.83 : 16,401.42 = 6,847.07 : x
  2. Step 2: Convert to fraction form
    11,883.83/16,401.42 = 6,847.07/x
  3. Step 3: Cross multiply
    11,883.83x = 16,401.42 × 6,847.07
  4. Step 4: Simplify right side
    11,883.83x = 112,301,670.84
  5. Step 5: Solve for x
    x = 112,301,670.84/11,883.83
  6. Step 6: Final answer
    x = 9,449.96

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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.