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Finding the Fourth Proportional to 10,441.75, 15,662.62 and 3,046.80

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Solution

The fourth proportional to 10,441.75, 15,662.62 and 3,046.80 is: 4,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.75 : 15,662.62 = 3,046.80 : x
  2. Step 2: Convert to fraction form
    10,441.75/15,662.62 = 3,046.80/x
  3. Step 3: Cross multiply
    10,441.75x = 15,662.62 × 3,046.80
  4. Step 4: Simplify right side
    10,441.75x = 47,720,909.77
  5. Step 5: Solve for x
    x = 47,720,909.77/10,441.75
  6. Step 6: Final answer
    x = 4,570.20

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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.