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Finding the Fourth Proportional to 7,775.82, 10,730.36 and 4,238.96

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Solution

The fourth proportional to 7,775.82, 10,730.36 and 4,238.96 is: 5,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.82 : 10,730.36 = 4,238.96 : x
  2. Step 2: Convert to fraction form
    7,775.82/10,730.36 = 4,238.96/x
  3. Step 3: Cross multiply
    7,775.82x = 10,730.36 × 4,238.96
  4. Step 4: Simplify right side
    7,775.82x = 45,485,566.83
  5. Step 5: Solve for x
    x = 45,485,566.83/7,775.82
  6. Step 6: Final answer
    x = 5,849.62

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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.