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Finding the Fourth Proportional to 7,846.47, 11,769.78 and 2,003.07

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Solution

The fourth proportional to 7,846.47, 11,769.78 and 2,003.07 is: 3,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.47 : 11,769.78 = 2,003.07 : x
  2. Step 2: Convert to fraction form
    7,846.47/11,769.78 = 2,003.07/x
  3. Step 3: Cross multiply
    7,846.47x = 11,769.78 × 2,003.07
  4. Step 4: Simplify right side
    7,846.47x = 23,575,693.22
  5. Step 5: Solve for x
    x = 23,575,693.22/7,846.47
  6. Step 6: Final answer
    x = 3,004.62

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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.