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Finding the Fourth Proportional to 11,634.96, 16,055.90 and 6,599.64

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Solution

The fourth proportional to 11,634.96, 16,055.90 and 6,599.64 is: 9,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.96 : 16,055.90 = 6,599.64 : x
  2. Step 2: Convert to fraction form
    11,634.96/16,055.90 = 6,599.64/x
  3. Step 3: Cross multiply
    11,634.96x = 16,055.90 × 6,599.64
  4. Step 4: Simplify right side
    11,634.96x = 105,963,046.60
  5. Step 5: Solve for x
    x = 105,963,046.60/11,634.96
  6. Step 6: Final answer
    x = 9,107.30

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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.