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Finding the Fourth Proportional to 11,596.12, 17,379.93 and 5,347.46

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Solution

The fourth proportional to 11,596.12, 17,379.93 and 5,347.46 is: 8,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.12 : 17,379.93 = 5,347.46 : x
  2. Step 2: Convert to fraction form
    11,596.12/17,379.93 = 5,347.46/x
  3. Step 3: Cross multiply
    11,596.12x = 17,379.93 × 5,347.46
  4. Step 4: Simplify right side
    11,596.12x = 92,938,438.70
  5. Step 5: Solve for x
    x = 92,938,438.70/11,596.12
  6. Step 6: Final answer
    x = 8,014.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.