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Finding the Fourth Proportional to 11,633.24, 16,054.94 and 6,599.09

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Solution

The fourth proportional to 11,633.24, 16,054.94 and 6,599.09 is: 9,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.24 : 16,054.94 = 6,599.09 : x
  2. Step 2: Convert to fraction form
    11,633.24/16,054.94 = 6,599.09/x
  3. Step 3: Cross multiply
    11,633.24x = 16,054.94 × 6,599.09
  4. Step 4: Simplify right side
    11,633.24x = 105,948,050.64
  5. Step 5: Solve for x
    x = 105,948,050.64/11,633.24
  6. Step 6: Final answer
    x = 9,107.35

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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.