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Finding the Fourth Proportional to 7,892.25, 11,835.06 and 3,506.73

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Solution

The fourth proportional to 7,892.25, 11,835.06 and 3,506.73 is: 5,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.25 : 11,835.06 = 3,506.73 : x
  2. Step 2: Convert to fraction form
    7,892.25/11,835.06 = 3,506.73/x
  3. Step 3: Cross multiply
    7,892.25x = 11,835.06 × 3,506.73
  4. Step 4: Simplify right side
    7,892.25x = 41,502,359.95
  5. Step 5: Solve for x
    x = 41,502,359.95/7,892.25
  6. Step 6: Final answer
    x = 5,258.62

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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.