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Finding the Fourth Proportional to 7,832.06, 11,749.81 and 3,885.46

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Solution

The fourth proportional to 7,832.06, 11,749.81 and 3,885.46 is: 5,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.06 : 11,749.81 = 3,885.46 : x
  2. Step 2: Convert to fraction form
    7,832.06/11,749.81 = 3,885.46/x
  3. Step 3: Cross multiply
    7,832.06x = 11,749.81 × 3,885.46
  4. Step 4: Simplify right side
    7,832.06x = 45,653,416.76
  5. Step 5: Solve for x
    x = 45,653,416.76/7,832.06
  6. Step 6: Final answer
    x = 5,829.05

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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.