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Finding the Fourth Proportional to 7,638.53, 11,435.12 and 4,165.25

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Solution

The fourth proportional to 7,638.53, 11,435.12 and 4,165.25 is: 6,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.53 : 11,435.12 = 4,165.25 : x
  2. Step 2: Convert to fraction form
    7,638.53/11,435.12 = 4,165.25/x
  3. Step 3: Cross multiply
    7,638.53x = 11,435.12 × 4,165.25
  4. Step 4: Simplify right side
    7,638.53x = 47,630,112.75
  5. Step 5: Solve for x
    x = 47,630,112.75/7,638.53
  6. Step 6: Final answer
    x = 6,235.51

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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.