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Finding the Fourth Proportional to 10,783.80, 16,175.70 and 6,847.20

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Solution

The fourth proportional to 10,783.80, 16,175.70 and 6,847.20 is: 10,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.80 : 16,175.70 = 6,847.20 : x
  2. Step 2: Convert to fraction form
    10,783.80/16,175.70 = 6,847.20/x
  3. Step 3: Cross multiply
    10,783.80x = 16,175.70 × 6,847.20
  4. Step 4: Simplify right side
    10,783.80x = 110,758,253.04
  5. Step 5: Solve for x
    x = 110,758,253.04/10,783.80
  6. Step 6: Final answer
    x = 10,270.80

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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.