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Finding the Fourth Proportional to 11,947.56, 16,495.01 and 7,700.12

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Solution

The fourth proportional to 11,947.56, 16,495.01 and 7,700.12 is: 10,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.56 : 16,495.01 = 7,700.12 : x
  2. Step 2: Convert to fraction form
    11,947.56/16,495.01 = 7,700.12/x
  3. Step 3: Cross multiply
    11,947.56x = 16,495.01 × 7,700.12
  4. Step 4: Simplify right side
    11,947.56x = 127,013,556.40
  5. Step 5: Solve for x
    x = 127,013,556.40/11,947.56
  6. Step 6: Final answer
    x = 10,630.92

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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.