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Finding the Fourth Proportional to 7,864.02, 11,796.48 and 2,020.68

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Solution

The fourth proportional to 7,864.02, 11,796.48 and 2,020.68 is: 3,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.02 : 11,796.48 = 2,020.68 : x
  2. Step 2: Convert to fraction form
    7,864.02/11,796.48 = 2,020.68/x
  3. Step 3: Cross multiply
    7,864.02x = 11,796.48 × 2,020.68
  4. Step 4: Simplify right side
    7,864.02x = 23,836,911.21
  5. Step 5: Solve for x
    x = 23,836,911.21/7,864.02
  6. Step 6: Final answer
    x = 3,031.14

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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.