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Finding the Fourth Proportional to 8,116.38, 11,200.52 and 4,758.50

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Solution

The fourth proportional to 8,116.38, 11,200.52 and 4,758.50 is: 6,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.38 : 11,200.52 = 4,758.50 : x
  2. Step 2: Convert to fraction form
    8,116.38/11,200.52 = 4,758.50/x
  3. Step 3: Cross multiply
    8,116.38x = 11,200.52 × 4,758.50
  4. Step 4: Simplify right side
    8,116.38x = 53,297,594.62
  5. Step 5: Solve for x
    x = 53,297,594.62/8,116.38
  6. Step 6: Final answer
    x = 6,566.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.