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Finding the Fourth Proportional to 7,727.67, 10,664.37 and 4,583.88

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Solution

The fourth proportional to 7,727.67, 10,664.37 and 4,583.88 is: 6,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.67 : 10,664.37 = 4,583.88 : x
  2. Step 2: Convert to fraction form
    7,727.67/10,664.37 = 4,583.88/x
  3. Step 3: Cross multiply
    7,727.67x = 10,664.37 × 4,583.88
  4. Step 4: Simplify right side
    7,727.67x = 48,884,192.36
  5. Step 5: Solve for x
    x = 48,884,192.36/7,727.67
  6. Step 6: Final answer
    x = 6,325.86

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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.