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Finding the Fourth Proportional to 7,694.99, 10,618.31 and 4,711.67

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Solution

The fourth proportional to 7,694.99, 10,618.31 and 4,711.67 is: 6,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.99 : 10,618.31 = 4,711.67 : x
  2. Step 2: Convert to fraction form
    7,694.99/10,618.31 = 4,711.67/x
  3. Step 3: Cross multiply
    7,694.99x = 10,618.31 × 4,711.67
  4. Step 4: Simplify right side
    7,694.99x = 50,029,931.37
  5. Step 5: Solve for x
    x = 50,029,931.37/7,694.99
  6. Step 6: Final answer
    x = 6,501.63

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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.