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Finding the Fourth Proportional to 10,991.40, 16,486.70 and 4,415.80

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Solution

The fourth proportional to 10,991.40, 16,486.70 and 4,415.80 is: 6,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.40 : 16,486.70 = 4,415.80 : x
  2. Step 2: Convert to fraction form
    10,991.40/16,486.70 = 4,415.80/x
  3. Step 3: Cross multiply
    10,991.40x = 16,486.70 × 4,415.80
  4. Step 4: Simplify right side
    10,991.40x = 72,801,969.86
  5. Step 5: Solve for x
    x = 72,801,969.86/10,991.40
  6. Step 6: Final answer
    x = 6,623.54

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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.