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Finding the Fourth Proportional to 7,578.01, 10,456.96 and 5,589.67

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Solution

The fourth proportional to 7,578.01, 10,456.96 and 5,589.67 is: 7,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.01 : 10,456.96 = 5,589.67 : x
  2. Step 2: Convert to fraction form
    7,578.01/10,456.96 = 5,589.67/x
  3. Step 3: Cross multiply
    7,578.01x = 10,456.96 × 5,589.67
  4. Step 4: Simplify right side
    7,578.01x = 58,450,903.32
  5. Step 5: Solve for x
    x = 58,450,903.32/7,578.01
  6. Step 6: Final answer
    x = 7,713.23

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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.