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Finding the Fourth Proportional to 8,451.42, 12,668.61 and 4,066.50

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Solution

The fourth proportional to 8,451.42, 12,668.61 and 4,066.50 is: 6,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.42 : 12,668.61 = 4,066.50 : x
  2. Step 2: Convert to fraction form
    8,451.42/12,668.61 = 4,066.50/x
  3. Step 3: Cross multiply
    8,451.42x = 12,668.61 × 4,066.50
  4. Step 4: Simplify right side
    8,451.42x = 51,516,902.57
  5. Step 5: Solve for x
    x = 51,516,902.57/8,451.42
  6. Step 6: Final answer
    x = 6,095.65

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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.