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Finding the Fourth Proportional to 11,804.28, 16,274.76 and 9,672

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Solution

The fourth proportional to 11,804.28, 16,274.76 and 9,672 is: 13,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.28 : 16,274.76 = 9,672 : x
  2. Step 2: Convert to fraction form
    11,804.28/16,274.76 = 9,672/x
  3. Step 3: Cross multiply
    11,804.28x = 16,274.76 × 9,672
  4. Step 4: Simplify right side
    11,804.28x = 157,409,478.72
  5. Step 5: Solve for x
    x = 157,409,478.72/11,804.28
  6. Step 6: Final answer
    x = 13,334.95

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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.