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Finding the Fourth Proportional to 7,799.82, 10,763.62 and 4,263

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Solution

The fourth proportional to 7,799.82, 10,763.62 and 4,263 is: 5,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.82 : 10,763.62 = 4,263 : x
  2. Step 2: Convert to fraction form
    7,799.82/10,763.62 = 4,263/x
  3. Step 3: Cross multiply
    7,799.82x = 10,763.62 × 4,263
  4. Step 4: Simplify right side
    7,799.82x = 45,885,312.06
  5. Step 5: Solve for x
    x = 45,885,312.06/7,799.82
  6. Step 6: Final answer
    x = 5,882.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.