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Finding the Fourth Proportional to 11,004.60, 16,477.74 and 6,616.02

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Solution

The fourth proportional to 11,004.60, 16,477.74 and 6,616.02 is: 9,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004.60 : 16,477.74 = 6,616.02 : x
  2. Step 2: Convert to fraction form
    11,004.60/16,477.74 = 6,616.02/x
  3. Step 3: Cross multiply
    11,004.60x = 16,477.74 × 6,616.02
  4. Step 4: Simplify right side
    11,004.60x = 109,017,057.39
  5. Step 5: Solve for x
    x = 109,017,057.39/11,004.60
  6. Step 6: Final answer
    x = 9,906.50

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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.