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Finding the Fourth Proportional to 7,744.91, 10,688.14 and 4,208.35

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Solution

The fourth proportional to 7,744.91, 10,688.14 and 4,208.35 is: 5,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.91 : 10,688.14 = 4,208.35 : x
  2. Step 2: Convert to fraction form
    7,744.91/10,688.14 = 4,208.35/x
  3. Step 3: Cross multiply
    7,744.91x = 10,688.14 × 4,208.35
  4. Step 4: Simplify right side
    7,744.91x = 44,979,412.93
  5. Step 5: Solve for x
    x = 44,979,412.93/7,744.91
  6. Step 6: Final answer
    x = 5,807.61

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