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Finding the Fourth Proportional to 11,048.08, 16,564.02 and 5,201.50

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Solution

The fourth proportional to 11,048.08, 16,564.02 and 5,201.50 is: 7,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.08 : 16,564.02 = 5,201.50 : x
  2. Step 2: Convert to fraction form
    11,048.08/16,564.02 = 5,201.50/x
  3. Step 3: Cross multiply
    11,048.08x = 16,564.02 × 5,201.50
  4. Step 4: Simplify right side
    11,048.08x = 86,157,750.03
  5. Step 5: Solve for x
    x = 86,157,750.03/11,048.08
  6. Step 6: Final answer
    x = 7,798.44

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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.