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Finding the Fourth Proportional to 7,693.81, 10,617.33 and 4,336.63

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Solution

The fourth proportional to 7,693.81, 10,617.33 and 4,336.63 is: 5,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.81 : 10,617.33 = 4,336.63 : x
  2. Step 2: Convert to fraction form
    7,693.81/10,617.33 = 4,336.63/x
  3. Step 3: Cross multiply
    7,693.81x = 10,617.33 × 4,336.63
  4. Step 4: Simplify right side
    7,693.81x = 46,043,431.80
  5. Step 5: Solve for x
    x = 46,043,431.80/7,693.81
  6. Step 6: Final answer
    x = 5,984.48

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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.