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Finding the Fourth Proportional to 7,851.75, 11,783.03 and 3,234.75

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Solution

The fourth proportional to 7,851.75, 11,783.03 and 3,234.75 is: 4,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.75 : 11,783.03 = 3,234.75 : x
  2. Step 2: Convert to fraction form
    7,851.75/11,783.03 = 3,234.75/x
  3. Step 3: Cross multiply
    7,851.75x = 11,783.03 × 3,234.75
  4. Step 4: Simplify right side
    7,851.75x = 38,115,140.12
  5. Step 5: Solve for x
    x = 38,115,140.12/7,851.75
  6. Step 6: Final answer
    x = 4,854.35

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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.