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Finding the Fourth Proportional to 8,271.26, 11,409.22 and 5,438.96

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Solution

The fourth proportional to 8,271.26, 11,409.22 and 5,438.96 is: 7,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.26 : 11,409.22 = 5,438.96 : x
  2. Step 2: Convert to fraction form
    8,271.26/11,409.22 = 5,438.96/x
  3. Step 3: Cross multiply
    8,271.26x = 11,409.22 × 5,438.96
  4. Step 4: Simplify right side
    8,271.26x = 62,054,291.21
  5. Step 5: Solve for x
    x = 62,054,291.21/8,271.26
  6. Step 6: Final answer
    x = 7,502.40

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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.