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Finding the Fourth Proportional to 8,783.76, 13,175.54 and 2,209.80

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Solution

The fourth proportional to 8,783.76, 13,175.54 and 2,209.80 is: 3,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.76 : 13,175.54 = 2,209.80 : x
  2. Step 2: Convert to fraction form
    8,783.76/13,175.54 = 2,209.80/x
  3. Step 3: Cross multiply
    8,783.76x = 13,175.54 × 2,209.80
  4. Step 4: Simplify right side
    8,783.76x = 29,115,308.29
  5. Step 5: Solve for x
    x = 29,115,308.29/8,783.76
  6. Step 6: Final answer
    x = 3,314.67

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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.