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Finding the Fourth Proportional to 11,523.84, 15,880.80 and 7,980.48

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Solution

The fourth proportional to 11,523.84, 15,880.80 and 7,980.48 is: 10,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.84 : 15,880.80 = 7,980.48 : x
  2. Step 2: Convert to fraction form
    11,523.84/15,880.80 = 7,980.48/x
  3. Step 3: Cross multiply
    11,523.84x = 15,880.80 × 7,980.48
  4. Step 4: Simplify right side
    11,523.84x = 126,736,406.78
  5. Step 5: Solve for x
    x = 126,736,406.78/11,523.84
  6. Step 6: Final answer
    x = 10,997.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.