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Finding the Fourth Proportional to 11,606.42, 16,017.21 and 6,301.60

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Solution

The fourth proportional to 11,606.42, 16,017.21 and 6,301.60 is: 8,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.42 : 16,017.21 = 6,301.60 : x
  2. Step 2: Convert to fraction form
    11,606.42/16,017.21 = 6,301.60/x
  3. Step 3: Cross multiply
    11,606.42x = 16,017.21 × 6,301.60
  4. Step 4: Simplify right side
    11,606.42x = 100,934,010.49
  5. Step 5: Solve for x
    x = 100,934,010.49/11,606.42
  6. Step 6: Final answer
    x = 8,696.39

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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.