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Finding the Fourth Proportional to 8,209.96, 12,303.59 and 7,111.60

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Solution

The fourth proportional to 8,209.96, 12,303.59 and 7,111.60 is: 10,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.96 : 12,303.59 = 7,111.60 : x
  2. Step 2: Convert to fraction form
    8,209.96/12,303.59 = 7,111.60/x
  3. Step 3: Cross multiply
    8,209.96x = 12,303.59 × 7,111.60
  4. Step 4: Simplify right side
    8,209.96x = 87,498,144.33
  5. Step 5: Solve for x
    x = 87,498,144.33/8,209.96
  6. Step 6: Final answer
    x = 10,657.56

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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.