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Finding the Fourth Proportional to 7,738.96, 11,607.36 and 2,809.84

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Solution

The fourth proportional to 7,738.96, 11,607.36 and 2,809.84 is: 4,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.96 : 11,607.36 = 2,809.84 : x
  2. Step 2: Convert to fraction form
    7,738.96/11,607.36 = 2,809.84/x
  3. Step 3: Cross multiply
    7,738.96x = 11,607.36 × 2,809.84
  4. Step 4: Simplify right side
    7,738.96x = 32,614,824.42
  5. Step 5: Solve for x
    x = 32,614,824.42/7,738.96
  6. Step 6: Final answer
    x = 4,214.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.