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Finding the Fourth Proportional to 7,568.04, 10,450.50 and 5,091.24

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Solution

The fourth proportional to 7,568.04, 10,450.50 and 5,091.24 is: 7,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.04 : 10,450.50 = 5,091.24 : x
  2. Step 2: Convert to fraction form
    7,568.04/10,450.50 = 5,091.24/x
  3. Step 3: Cross multiply
    7,568.04x = 10,450.50 × 5,091.24
  4. Step 4: Simplify right side
    7,568.04x = 53,206,003.62
  5. Step 5: Solve for x
    x = 53,206,003.62/7,568.04
  6. Step 6: Final answer
    x = 7,030.35

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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.