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Finding the Fourth Proportional to 7,847.36, 11,763.47 and 2,650.40

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Solution

The fourth proportional to 7,847.36, 11,763.47 and 2,650.40 is: 3,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.36 : 11,763.47 = 2,650.40 : x
  2. Step 2: Convert to fraction form
    7,847.36/11,763.47 = 2,650.40/x
  3. Step 3: Cross multiply
    7,847.36x = 11,763.47 × 2,650.40
  4. Step 4: Simplify right side
    7,847.36x = 31,177,848.70
  5. Step 5: Solve for x
    x = 31,177,848.70/7,847.36
  6. Step 6: Final answer
    x = 3,973.04

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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.