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Finding the Fourth Proportional to 7,648.37, 11,475.99 and 4,134.26

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Solution

The fourth proportional to 7,648.37, 11,475.99 and 4,134.26 is: 6,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.37 : 11,475.99 = 4,134.26 : x
  2. Step 2: Convert to fraction form
    7,648.37/11,475.99 = 4,134.26/x
  3. Step 3: Cross multiply
    7,648.37x = 11,475.99 × 4,134.26
  4. Step 4: Simplify right side
    7,648.37x = 47,444,720.42
  5. Step 5: Solve for x
    x = 47,444,720.42/7,648.37
  6. Step 6: Final answer
    x = 6,203.25

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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.