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Finding the Fourth Proportional to 7,381.75, 10,186.86 and 4,069.75

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Solution

The fourth proportional to 7,381.75, 10,186.86 and 4,069.75 is: 5,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.75 : 10,186.86 = 4,069.75 : x
  2. Step 2: Convert to fraction form
    7,381.75/10,186.86 = 4,069.75/x
  3. Step 3: Cross multiply
    7,381.75x = 10,186.86 × 4,069.75
  4. Step 4: Simplify right side
    7,381.75x = 41,457,973.49
  5. Step 5: Solve for x
    x = 41,457,973.49/7,381.75
  6. Step 6: Final answer
    x = 5,616.28

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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.