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Finding the Fourth Proportional to 11,633.34, 16,054.35 and 6,597.44

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Solution

The fourth proportional to 11,633.34, 16,054.35 and 6,597.44 is: 9,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.34 : 16,054.35 = 6,597.44 : x
  2. Step 2: Convert to fraction form
    11,633.34/16,054.35 = 6,597.44/x
  3. Step 3: Cross multiply
    11,633.34x = 16,054.35 × 6,597.44
  4. Step 4: Simplify right side
    11,633.34x = 105,917,530.59
  5. Step 5: Solve for x
    x = 105,917,530.59/11,633.34
  6. Step 6: Final answer
    x = 9,104.65

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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.