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Finding the Fourth Proportional to 8,506.14, 12,760.17 and 3,574.86

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Solution

The fourth proportional to 8,506.14, 12,760.17 and 3,574.86 is: 5,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.14 : 12,760.17 = 3,574.86 : x
  2. Step 2: Convert to fraction form
    8,506.14/12,760.17 = 3,574.86/x
  3. Step 3: Cross multiply
    8,506.14x = 12,760.17 × 3,574.86
  4. Step 4: Simplify right side
    8,506.14x = 45,615,821.33
  5. Step 5: Solve for x
    x = 45,615,821.33/8,506.14
  6. Step 6: Final answer
    x = 5,362.69

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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.