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Finding the Fourth Proportional to 11,938.22, 16,495.88 and 8,592.11

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Solution

The fourth proportional to 11,938.22, 16,495.88 and 8,592.11 is: 11,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.22 : 16,495.88 = 8,592.11 : x
  2. Step 2: Convert to fraction form
    11,938.22/16,495.88 = 8,592.11/x
  3. Step 3: Cross multiply
    11,938.22x = 16,495.88 × 8,592.11
  4. Step 4: Simplify right side
    11,938.22x = 141,734,290.07
  5. Step 5: Solve for x
    x = 141,734,290.07/11,938.22
  6. Step 6: Final answer
    x = 11,872.32

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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.