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Finding the Fourth Proportional to 11,677.50, 16,112.52 and 7,901.28

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Solution

The fourth proportional to 11,677.50, 16,112.52 and 7,901.28 is: 10,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.50 : 16,112.52 = 7,901.28 : x
  2. Step 2: Convert to fraction form
    11,677.50/16,112.52 = 7,901.28/x
  3. Step 3: Cross multiply
    11,677.50x = 16,112.52 × 7,901.28
  4. Step 4: Simplify right side
    11,677.50x = 127,309,532.03
  5. Step 5: Solve for x
    x = 127,309,532.03/11,677.50
  6. Step 6: Final answer
    x = 10,902.12

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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.