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Finding the Fourth Proportional to 11,181.60, 16,783.20 and 6,807.60

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Solution

The fourth proportional to 11,181.60, 16,783.20 and 6,807.60 is: 10,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.60 : 16,783.20 = 6,807.60 : x
  2. Step 2: Convert to fraction form
    11,181.60/16,783.20 = 6,807.60/x
  3. Step 3: Cross multiply
    11,181.60x = 16,783.20 × 6,807.60
  4. Step 4: Simplify right side
    11,181.60x = 114,253,312.32
  5. Step 5: Solve for x
    x = 114,253,312.32/11,181.60
  6. Step 6: Final answer
    x = 10,217.98

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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.