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Finding the Fourth Proportional to 11,969.04, 16,515.36 and 6,662.64

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Solution

The fourth proportional to 11,969.04, 16,515.36 and 6,662.64 is: 9,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.04 : 16,515.36 = 6,662.64 : x
  2. Step 2: Convert to fraction form
    11,969.04/16,515.36 = 6,662.64/x
  3. Step 3: Cross multiply
    11,969.04x = 16,515.36 × 6,662.64
  4. Step 4: Simplify right side
    11,969.04x = 110,035,898.15
  5. Step 5: Solve for x
    x = 110,035,898.15/11,969.04
  6. Step 6: Final answer
    x = 9,193.38

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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.