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Finding the Fourth Proportional to 11,799.46, 17,700.29 and 3,902

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Solution

The fourth proportional to 11,799.46, 17,700.29 and 3,902 is: 5,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.46 : 17,700.29 = 3,902 : x
  2. Step 2: Convert to fraction form
    11,799.46/17,700.29 = 3,902/x
  3. Step 3: Cross multiply
    11,799.46x = 17,700.29 × 3,902
  4. Step 4: Simplify right side
    11,799.46x = 69,066,512.07
  5. Step 5: Solve for x
    x = 69,066,512.07/11,799.46
  6. Step 6: Final answer
    x = 5,853.36

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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.