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Finding the Fourth Proportional to 8,128.89, 11,218.23 and 4,592.16

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Solution

The fourth proportional to 8,128.89, 11,218.23 and 4,592.16 is: 6,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.89 : 11,218.23 = 4,592.16 : x
  2. Step 2: Convert to fraction form
    8,128.89/11,218.23 = 4,592.16/x
  3. Step 3: Cross multiply
    8,128.89x = 11,218.23 × 4,592.16
  4. Step 4: Simplify right side
    8,128.89x = 51,515,907.08
  5. Step 5: Solve for x
    x = 51,515,907.08/8,128.89
  6. Step 6: Final answer
    x = 6,337.39

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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.