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Finding the Fourth Proportional to 11,705.28, 16,153.44 and 7,980.48

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Solution

The fourth proportional to 11,705.28, 16,153.44 and 7,980.48 is: 11,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.28 : 16,153.44 = 7,980.48 : x
  2. Step 2: Convert to fraction form
    11,705.28/16,153.44 = 7,980.48/x
  3. Step 3: Cross multiply
    11,705.28x = 16,153.44 × 7,980.48
  4. Step 4: Simplify right side
    11,705.28x = 128,912,204.85
  5. Step 5: Solve for x
    x = 128,912,204.85/11,705.28
  6. Step 6: Final answer
    x = 11,013.17

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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.