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Finding the Fourth Proportional to 7,664.44, 11,495.04 and 2,118.64

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Solution

The fourth proportional to 7,664.44, 11,495.04 and 2,118.64 is: 3,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.44 : 11,495.04 = 2,118.64 : x
  2. Step 2: Convert to fraction form
    7,664.44/11,495.04 = 2,118.64/x
  3. Step 3: Cross multiply
    7,664.44x = 11,495.04 × 2,118.64
  4. Step 4: Simplify right side
    7,664.44x = 24,353,851.55
  5. Step 5: Solve for x
    x = 24,353,851.55/7,664.44
  6. Step 6: Final answer
    x = 3,177.51

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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.