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Finding the Fourth Proportional to 8,277.56, 12,408.14 and 3,887.16

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Solution

The fourth proportional to 8,277.56, 12,408.14 and 3,887.16 is: 5,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.56 : 12,408.14 = 3,887.16 : x
  2. Step 2: Convert to fraction form
    8,277.56/12,408.14 = 3,887.16/x
  3. Step 3: Cross multiply
    8,277.56x = 12,408.14 × 3,887.16
  4. Step 4: Simplify right side
    8,277.56x = 48,232,435.20
  5. Step 5: Solve for x
    x = 48,232,435.20/8,277.56
  6. Step 6: Final answer
    x = 5,826.89

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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.