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Finding the Fourth Proportional to 7,846.16, 11,769.23 and 2,002.76

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Solution

The fourth proportional to 7,846.16, 11,769.23 and 2,002.76 is: 3,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.16 : 11,769.23 = 2,002.76 : x
  2. Step 2: Convert to fraction form
    7,846.16/11,769.23 = 2,002.76/x
  3. Step 3: Cross multiply
    7,846.16x = 11,769.23 × 2,002.76
  4. Step 4: Simplify right side
    7,846.16x = 23,570,962.48
  5. Step 5: Solve for x
    x = 23,570,962.48/7,846.16
  6. Step 6: Final answer
    x = 3,004.14

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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.