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Finding the Fourth Proportional to 11,234.80, 16,852.20 and 7,735.60

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Solution

The fourth proportional to 11,234.80, 16,852.20 and 7,735.60 is: 11,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.80 : 16,852.20 = 7,735.60 : x
  2. Step 2: Convert to fraction form
    11,234.80/16,852.20 = 7,735.60/x
  3. Step 3: Cross multiply
    11,234.80x = 16,852.20 × 7,735.60
  4. Step 4: Simplify right side
    11,234.80x = 130,361,878.32
  5. Step 5: Solve for x
    x = 130,361,878.32/11,234.80
  6. Step 6: Final answer
    x = 11,603.40

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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.