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Finding the Fourth Proportional to 8,559.27, 11,806.56 and 5,415.39

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Solution

The fourth proportional to 8,559.27, 11,806.56 and 5,415.39 is: 7,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.27 : 11,806.56 = 5,415.39 : x
  2. Step 2: Convert to fraction form
    8,559.27/11,806.56 = 5,415.39/x
  3. Step 3: Cross multiply
    8,559.27x = 11,806.56 × 5,415.39
  4. Step 4: Simplify right side
    8,559.27x = 63,937,126.96
  5. Step 5: Solve for x
    x = 63,937,126.96/8,559.27
  6. Step 6: Final answer
    x = 7,469.93

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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.