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Finding the Fourth Proportional to 7,650.42, 11,451.32 and 4,135.42

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Solution

The fourth proportional to 7,650.42, 11,451.32 and 4,135.42 is: 6,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.42 : 11,451.32 = 4,135.42 : x
  2. Step 2: Convert to fraction form
    7,650.42/11,451.32 = 4,135.42/x
  3. Step 3: Cross multiply
    7,650.42x = 11,451.32 × 4,135.42
  4. Step 4: Simplify right side
    7,650.42x = 47,356,017.75
  5. Step 5: Solve for x
    x = 47,356,017.75/7,650.42
  6. Step 6: Final answer
    x = 6,189.99

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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.