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Finding the Fourth Proportional to 8,833.66, 13,228.89 and 4,205.50

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Solution

The fourth proportional to 8,833.66, 13,228.89 and 4,205.50 is: 6,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.66 : 13,228.89 = 4,205.50 : x
  2. Step 2: Convert to fraction form
    8,833.66/13,228.89 = 4,205.50/x
  3. Step 3: Cross multiply
    8,833.66x = 13,228.89 × 4,205.50
  4. Step 4: Simplify right side
    8,833.66x = 55,634,096.90
  5. Step 5: Solve for x
    x = 55,634,096.90/8,833.66
  6. Step 6: Final answer
    x = 6,297.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.