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Finding the Fourth Proportional to 11,799.64, 16,283.37 and 6,494.34

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Solution

The fourth proportional to 11,799.64, 16,283.37 and 6,494.34 is: 8,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.64 : 16,283.37 = 6,494.34 : x
  2. Step 2: Convert to fraction form
    11,799.64/16,283.37 = 6,494.34/x
  3. Step 3: Cross multiply
    11,799.64x = 16,283.37 × 6,494.34
  4. Step 4: Simplify right side
    11,799.64x = 105,749,741.13
  5. Step 5: Solve for x
    x = 105,749,741.13/11,799.64
  6. Step 6: Final answer
    x = 8,962.12

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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.