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Finding the Fourth Proportional to 7,694.86, 10,618.14 and 4,711.54

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Solution

The fourth proportional to 7,694.86, 10,618.14 and 4,711.54 is: 6,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.86 : 10,618.14 = 4,711.54 : x
  2. Step 2: Convert to fraction form
    7,694.86/10,618.14 = 4,711.54/x
  3. Step 3: Cross multiply
    7,694.86x = 10,618.14 × 4,711.54
  4. Step 4: Simplify right side
    7,694.86x = 50,027,791.34
  5. Step 5: Solve for x
    x = 50,027,791.34/7,694.86
  6. Step 6: Final answer
    x = 6,501.46

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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.