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Finding the Fourth Proportional to 8,406.93, 12,608.37 and 3,724.35

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Solution

The fourth proportional to 8,406.93, 12,608.37 and 3,724.35 is: 5,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.93 : 12,608.37 = 3,724.35 : x
  2. Step 2: Convert to fraction form
    8,406.93/12,608.37 = 3,724.35/x
  3. Step 3: Cross multiply
    8,406.93x = 12,608.37 × 3,724.35
  4. Step 4: Simplify right side
    8,406.93x = 46,957,964.19
  5. Step 5: Solve for x
    x = 46,957,964.19/8,406.93
  6. Step 6: Final answer
    x = 5,585.63

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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.