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Finding the Fourth Proportional to 7,684.94, 10,584.51 and 6,635.18

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Solution

The fourth proportional to 7,684.94, 10,584.51 and 6,635.18 is: 9,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.94 : 10,584.51 = 6,635.18 : x
  2. Step 2: Convert to fraction form
    7,684.94/10,584.51 = 6,635.18/x
  3. Step 3: Cross multiply
    7,684.94x = 10,584.51 × 6,635.18
  4. Step 4: Simplify right side
    7,684.94x = 70,230,129.06
  5. Step 5: Solve for x
    x = 70,230,129.06/7,684.94
  6. Step 6: Final answer
    x = 9,138.67

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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.