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Finding the Fourth Proportional to 7,964.86, 10,992.70 and 5,734.12

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Solution

The fourth proportional to 7,964.86, 10,992.70 and 5,734.12 is: 7,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.86 : 10,992.70 = 5,734.12 : x
  2. Step 2: Convert to fraction form
    7,964.86/10,992.70 = 5,734.12/x
  3. Step 3: Cross multiply
    7,964.86x = 10,992.70 × 5,734.12
  4. Step 4: Simplify right side
    7,964.86x = 63,033,460.92
  5. Step 5: Solve for x
    x = 63,033,460.92/7,964.86
  6. Step 6: Final answer
    x = 7,913.94

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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.