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Finding the Fourth Proportional to 7,966.31, 11,947.02 and 2,122.16

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Solution

The fourth proportional to 7,966.31, 11,947.02 and 2,122.16 is: 3,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.31 : 11,947.02 = 2,122.16 : x
  2. Step 2: Convert to fraction form
    7,966.31/11,947.02 = 2,122.16/x
  3. Step 3: Cross multiply
    7,966.31x = 11,947.02 × 2,122.16
  4. Step 4: Simplify right side
    7,966.31x = 25,353,428.23
  5. Step 5: Solve for x
    x = 25,353,428.23/7,966.31
  6. Step 6: Final answer
    x = 3,182.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.