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Finding the Fourth Proportional to 7,771.03, 10,724.03 and 4,234.17

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Solution

The fourth proportional to 7,771.03, 10,724.03 and 4,234.17 is: 5,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.03 : 10,724.03 = 4,234.17 : x
  2. Step 2: Convert to fraction form
    7,771.03/10,724.03 = 4,234.17/x
  3. Step 3: Cross multiply
    7,771.03x = 10,724.03 × 4,234.17
  4. Step 4: Simplify right side
    7,771.03x = 45,407,366.11
  5. Step 5: Solve for x
    x = 45,407,366.11/7,771.03
  6. Step 6: Final answer
    x = 5,843.16

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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.