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Finding the Fourth Proportional to 11,228.40, 16,835.40 and 4,657.20

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Solution

The fourth proportional to 11,228.40, 16,835.40 and 4,657.20 is: 6,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.40 : 16,835.40 = 4,657.20 : x
  2. Step 2: Convert to fraction form
    11,228.40/16,835.40 = 4,657.20/x
  3. Step 3: Cross multiply
    11,228.40x = 16,835.40 × 4,657.20
  4. Step 4: Simplify right side
    11,228.40x = 78,405,824.88
  5. Step 5: Solve for x
    x = 78,405,824.88/11,228.40
  6. Step 6: Final answer
    x = 6,982.81

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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.