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Finding the Fourth Proportional to 7,555.50, 10,428.24 and 4,199.46

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Solution

The fourth proportional to 7,555.50, 10,428.24 and 4,199.46 is: 5,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.50 : 10,428.24 = 4,199.46 : x
  2. Step 2: Convert to fraction form
    7,555.50/10,428.24 = 4,199.46/x
  3. Step 3: Cross multiply
    7,555.50x = 10,428.24 × 4,199.46
  4. Step 4: Simplify right side
    7,555.50x = 43,792,976.75
  5. Step 5: Solve for x
    x = 43,792,976.75/7,555.50
  6. Step 6: Final answer
    x = 5,796.17

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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.