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Finding the Fourth Proportional to 7,694.96, 10,619.03 and 4,158.17

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Solution

The fourth proportional to 7,694.96, 10,619.03 and 4,158.17 is: 5,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.96 : 10,619.03 = 4,158.17 : x
  2. Step 2: Convert to fraction form
    7,694.96/10,619.03 = 4,158.17/x
  3. Step 3: Cross multiply
    7,694.96x = 10,619.03 × 4,158.17
  4. Step 4: Simplify right side
    7,694.96x = 44,155,678.88
  5. Step 5: Solve for x
    x = 44,155,678.88/7,694.96
  6. Step 6: Final answer
    x = 5,738.26

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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.