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Finding the Fourth Proportional to 7,798.38, 11,700.47 and 4,680.62

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Solution

The fourth proportional to 7,798.38, 11,700.47 and 4,680.62 is: 7,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.38 : 11,700.47 = 4,680.62 : x
  2. Step 2: Convert to fraction form
    7,798.38/11,700.47 = 4,680.62/x
  3. Step 3: Cross multiply
    7,798.38x = 11,700.47 × 4,680.62
  4. Step 4: Simplify right side
    7,798.38x = 54,765,450.97
  5. Step 5: Solve for x
    x = 54,765,450.97/7,798.38
  6. Step 6: Final answer
    x = 7,022.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.