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Finding the Fourth Proportional to 7,727.36, 10,664.06 and 4,540.68

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Solution

The fourth proportional to 7,727.36, 10,664.06 and 4,540.68 is: 6,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.36 : 10,664.06 = 4,540.68 : x
  2. Step 2: Convert to fraction form
    7,727.36/10,664.06 = 4,540.68/x
  3. Step 3: Cross multiply
    7,727.36x = 10,664.06 × 4,540.68
  4. Step 4: Simplify right side
    7,727.36x = 48,422,061.26
  5. Step 5: Solve for x
    x = 48,422,061.26/7,727.36
  6. Step 6: Final answer
    x = 6,266.32

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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.