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Finding the Fourth Proportional to 7,762.41, 11,629.02 and 3,857.40

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Solution

The fourth proportional to 7,762.41, 11,629.02 and 3,857.40 is: 5,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.41 : 11,629.02 = 3,857.40 : x
  2. Step 2: Convert to fraction form
    7,762.41/11,629.02 = 3,857.40/x
  3. Step 3: Cross multiply
    7,762.41x = 11,629.02 × 3,857.40
  4. Step 4: Simplify right side
    7,762.41x = 44,857,781.75
  5. Step 5: Solve for x
    x = 44,857,781.75/7,762.41
  6. Step 6: Final answer
    x = 5,778.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.