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Finding the Fourth Proportional to 7,802.73, 11,690.94 and 3,848.70

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Solution

The fourth proportional to 7,802.73, 11,690.94 and 3,848.70 is: 5,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.73 : 11,690.94 = 3,848.70 : x
  2. Step 2: Convert to fraction form
    7,802.73/11,690.94 = 3,848.70/x
  3. Step 3: Cross multiply
    7,802.73x = 11,690.94 × 3,848.70
  4. Step 4: Simplify right side
    7,802.73x = 44,994,920.78
  5. Step 5: Solve for x
    x = 44,994,920.78/7,802.73
  6. Step 6: Final answer
    x = 5,766.56

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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.