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Finding the Fourth Proportional to 7,864.04, 11,796.16 and 2,020.70

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Solution

The fourth proportional to 7,864.04, 11,796.16 and 2,020.70 is: 3,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.04 : 11,796.16 = 2,020.70 : x
  2. Step 2: Convert to fraction form
    7,864.04/11,796.16 = 2,020.70/x
  3. Step 3: Cross multiply
    7,864.04x = 11,796.16 × 2,020.70
  4. Step 4: Simplify right side
    7,864.04x = 23,836,500.51
  5. Step 5: Solve for x
    x = 23,836,500.51/7,864.04
  6. Step 6: Final answer
    x = 3,031.08

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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.