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Finding the Fourth Proportional to 8,427.32, 11,629.05 and 4,650.20

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Solution

The fourth proportional to 8,427.32, 11,629.05 and 4,650.20 is: 6,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.32 : 11,629.05 = 4,650.20 : x
  2. Step 2: Convert to fraction form
    8,427.32/11,629.05 = 4,650.20/x
  3. Step 3: Cross multiply
    8,427.32x = 11,629.05 × 4,650.20
  4. Step 4: Simplify right side
    8,427.32x = 54,077,408.31
  5. Step 5: Solve for x
    x = 54,077,408.31/8,427.32
  6. Step 6: Final answer
    x = 6,416.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.