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Finding the Fourth Proportional to 8,540.79, 11,784.78 and 5,137.89

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Solution

The fourth proportional to 8,540.79, 11,784.78 and 5,137.89 is: 7,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.79 : 11,784.78 = 5,137.89 : x
  2. Step 2: Convert to fraction form
    8,540.79/11,784.78 = 5,137.89/x
  3. Step 3: Cross multiply
    8,540.79x = 11,784.78 × 5,137.89
  4. Step 4: Simplify right side
    8,540.79x = 60,548,903.31
  5. Step 5: Solve for x
    x = 60,548,903.31/8,540.79
  6. Step 6: Final answer
    x = 7,089.38

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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.