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Finding the Fourth Proportional to 7,847.45, 11,772.80 and 2,300.97

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Solution

The fourth proportional to 7,847.45, 11,772.80 and 2,300.97 is: 3,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.45 : 11,772.80 = 2,300.97 : x
  2. Step 2: Convert to fraction form
    7,847.45/11,772.80 = 2,300.97/x
  3. Step 3: Cross multiply
    7,847.45x = 11,772.80 × 2,300.97
  4. Step 4: Simplify right side
    7,847.45x = 27,088,848.11
  5. Step 5: Solve for x
    x = 27,088,848.11/7,847.45
  6. Step 6: Final answer
    x = 3,451.93

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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.