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Finding the Fourth Proportional to 11,087.67, 16,622.67 and 6,402.36

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Solution

The fourth proportional to 11,087.67, 16,622.67 and 6,402.36 is: 9,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,087.67 : 16,622.67 = 6,402.36 : x
  2. Step 2: Convert to fraction form
    11,087.67/16,622.67 = 6,402.36/x
  3. Step 3: Cross multiply
    11,087.67x = 16,622.67 × 6,402.36
  4. Step 4: Simplify right side
    11,087.67x = 106,424,317.50
  5. Step 5: Solve for x
    x = 106,424,317.50/11,087.67
  6. Step 6: Final answer
    x = 9,598.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.