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Finding the Fourth Proportional to 7,538.79, 10,372.95 and 6,189.43

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Solution

The fourth proportional to 7,538.79, 10,372.95 and 6,189.43 is: 8,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.79 : 10,372.95 = 6,189.43 : x
  2. Step 2: Convert to fraction form
    7,538.79/10,372.95 = 6,189.43/x
  3. Step 3: Cross multiply
    7,538.79x = 10,372.95 × 6,189.43
  4. Step 4: Simplify right side
    7,538.79x = 64,202,647.92
  5. Step 5: Solve for x
    x = 64,202,647.92/7,538.79
  6. Step 6: Final answer
    x = 8,516.31

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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.