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Finding the Fourth Proportional to 7,727.60, 10,665.24 and 6,466.80

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Solution

The fourth proportional to 7,727.60, 10,665.24 and 6,466.80 is: 8,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.60 : 10,665.24 = 6,466.80 : x
  2. Step 2: Convert to fraction form
    7,727.60/10,665.24 = 6,466.80/x
  3. Step 3: Cross multiply
    7,727.60x = 10,665.24 × 6,466.80
  4. Step 4: Simplify right side
    7,727.60x = 68,969,974.03
  5. Step 5: Solve for x
    x = 68,969,974.03/7,727.60
  6. Step 6: Final answer
    x = 8,925.15

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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.