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Finding the Fourth Proportional to 8,473.64, 12,710.33 and 3,474.95

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Solution

The fourth proportional to 8,473.64, 12,710.33 and 3,474.95 is: 5,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.64 : 12,710.33 = 3,474.95 : x
  2. Step 2: Convert to fraction form
    8,473.64/12,710.33 = 3,474.95/x
  3. Step 3: Cross multiply
    8,473.64x = 12,710.33 × 3,474.95
  4. Step 4: Simplify right side
    8,473.64x = 44,167,743.86
  5. Step 5: Solve for x
    x = 44,167,743.86/8,473.64
  6. Step 6: Final answer
    x = 5,212.37

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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.