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Finding the Fourth Proportional to 11,077.25, 16,576.85 and 6,919.22

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Solution

The fourth proportional to 11,077.25, 16,576.85 and 6,919.22 is: 10,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.25 : 16,576.85 = 6,919.22 : x
  2. Step 2: Convert to fraction form
    11,077.25/16,576.85 = 6,919.22/x
  3. Step 3: Cross multiply
    11,077.25x = 16,576.85 × 6,919.22
  4. Step 4: Simplify right side
    11,077.25x = 114,698,829.71
  5. Step 5: Solve for x
    x = 114,698,829.71/11,077.25
  6. Step 6: Final answer
    x = 10,354.45

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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.