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Finding the Fourth Proportional to 8,289.44, 12,417.50 and 4,116.83

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Solution

The fourth proportional to 8,289.44, 12,417.50 and 4,116.83 is: 6,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.44 : 12,417.50 = 4,116.83 : x
  2. Step 2: Convert to fraction form
    8,289.44/12,417.50 = 4,116.83/x
  3. Step 3: Cross multiply
    8,289.44x = 12,417.50 × 4,116.83
  4. Step 4: Simplify right side
    8,289.44x = 51,120,684.73
  5. Step 5: Solve for x
    x = 51,120,684.73/8,289.44
  6. Step 6: Final answer
    x = 6,166.97

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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.