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Finding the Fourth Proportional to 12,607.72, 18,911.94 and 3,842.64

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Solution

The fourth proportional to 12,607.72, 18,911.94 and 3,842.64 is: 5,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.72 : 18,911.94 = 3,842.64 : x
  2. Step 2: Convert to fraction form
    12,607.72/18,911.94 = 3,842.64/x
  3. Step 3: Cross multiply
    12,607.72x = 18,911.94 × 3,842.64
  4. Step 4: Simplify right side
    12,607.72x = 72,671,777.12
  5. Step 5: Solve for x
    x = 72,671,777.12/12,607.72
  6. Step 6: Final answer
    x = 5,764.07

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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.