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Finding the Fourth Proportional to 6,965.28, 10,430.37 and 4,618.23

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Solution

The fourth proportional to 6,965.28, 10,430.37 and 4,618.23 is: 6,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.28 : 10,430.37 = 4,618.23 : x
  2. Step 2: Convert to fraction form
    6,965.28/10,430.37 = 4,618.23/x
  3. Step 3: Cross multiply
    6,965.28x = 10,430.37 × 4,618.23
  4. Step 4: Simplify right side
    6,965.28x = 48,169,847.65
  5. Step 5: Solve for x
    x = 48,169,847.65/6,965.28
  6. Step 6: Final answer
    x = 6,915.71

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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.