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Finding the Fourth Proportional to 11,612.88, 16,022.34 and 6,897.60

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Solution

The fourth proportional to 11,612.88, 16,022.34 and 6,897.60 is: 9,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.88 : 16,022.34 = 6,897.60 : x
  2. Step 2: Convert to fraction form
    11,612.88/16,022.34 = 6,897.60/x
  3. Step 3: Cross multiply
    11,612.88x = 16,022.34 × 6,897.60
  4. Step 4: Simplify right side
    11,612.88x = 110,515,692.38
  5. Step 5: Solve for x
    x = 110,515,692.38/11,612.88
  6. Step 6: Final answer
    x = 9,516.65

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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.