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Finding the Fourth Proportional to 11,076.52, 16,600.42 and 4,495

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Solution

The fourth proportional to 11,076.52, 16,600.42 and 4,495 is: 6,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.52 : 16,600.42 = 4,495 : x
  2. Step 2: Convert to fraction form
    11,076.52/16,600.42 = 4,495/x
  3. Step 3: Cross multiply
    11,076.52x = 16,600.42 × 4,495
  4. Step 4: Simplify right side
    11,076.52x = 74,618,887.90
  5. Step 5: Solve for x
    x = 74,618,887.90/11,076.52
  6. Step 6: Final answer
    x = 6,736.67

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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.