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Finding the Fourth Proportional to 7,516.44, 10,372.59 and 4,159

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Solution

The fourth proportional to 7,516.44, 10,372.59 and 4,159 is: 5,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.44 : 10,372.59 = 4,159 : x
  2. Step 2: Convert to fraction form
    7,516.44/10,372.59 = 4,159/x
  3. Step 3: Cross multiply
    7,516.44x = 10,372.59 × 4,159
  4. Step 4: Simplify right side
    7,516.44x = 43,139,601.81
  5. Step 5: Solve for x
    x = 43,139,601.81/7,516.44
  6. Step 6: Final answer
    x = 5,739.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.