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Finding the Fourth Proportional to 7,838.90, 11,763.23 and 4,883.15

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Solution

The fourth proportional to 7,838.90, 11,763.23 and 4,883.15 is: 7,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.90 : 11,763.23 = 4,883.15 : x
  2. Step 2: Convert to fraction form
    7,838.90/11,763.23 = 4,883.15/x
  3. Step 3: Cross multiply
    7,838.90x = 11,763.23 × 4,883.15
  4. Step 4: Simplify right side
    7,838.90x = 57,441,616.57
  5. Step 5: Solve for x
    x = 57,441,616.57/7,838.90
  6. Step 6: Final answer
    x = 7,327.76

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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.