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Finding the Fourth Proportional to 7,964.85, 10,992.69 and 5,734.11

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Solution

The fourth proportional to 7,964.85, 10,992.69 and 5,734.11 is: 7,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.85 : 10,992.69 = 5,734.11 : x
  2. Step 2: Convert to fraction form
    7,964.85/10,992.69 = 5,734.11/x
  3. Step 3: Cross multiply
    7,964.85x = 10,992.69 × 5,734.11
  4. Step 4: Simplify right side
    7,964.85x = 63,033,293.66
  5. Step 5: Solve for x
    x = 63,033,293.66/7,964.85
  6. Step 6: Final answer
    x = 7,913.93

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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.