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Finding the Fourth Proportional to 11,633.63, 16,054.40 and 6,596.24

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Solution

The fourth proportional to 11,633.63, 16,054.40 and 6,596.24 is: 9,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.63 : 16,054.40 = 6,596.24 : x
  2. Step 2: Convert to fraction form
    11,633.63/16,054.40 = 6,596.24/x
  3. Step 3: Cross multiply
    11,633.63x = 16,054.40 × 6,596.24
  4. Step 4: Simplify right side
    11,633.63x = 105,898,611.67
  5. Step 5: Solve for x
    x = 105,898,611.67/11,633.63
  6. Step 6: Final answer
    x = 9,102.80

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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.