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Finding the Fourth Proportional to 11,884.23, 16,400.62 and 6,848.05

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Solution

The fourth proportional to 11,884.23, 16,400.62 and 6,848.05 is: 9,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.23 : 16,400.62 = 6,848.05 : x
  2. Step 2: Convert to fraction form
    11,884.23/16,400.62 = 6,848.05/x
  3. Step 3: Cross multiply
    11,884.23x = 16,400.62 × 6,848.05
  4. Step 4: Simplify right side
    11,884.23x = 112,312,265.79
  5. Step 5: Solve for x
    x = 112,312,265.79/11,884.23
  6. Step 6: Final answer
    x = 9,450.53

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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.