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Finding the Fourth Proportional to 7,966.98, 11,946.42 and 2,700.36

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Solution

The fourth proportional to 7,966.98, 11,946.42 and 2,700.36 is: 4,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.98 : 11,946.42 = 2,700.36 : x
  2. Step 2: Convert to fraction form
    7,966.98/11,946.42 = 2,700.36/x
  3. Step 3: Cross multiply
    7,966.98x = 11,946.42 × 2,700.36
  4. Step 4: Simplify right side
    7,966.98x = 32,259,634.71
  5. Step 5: Solve for x
    x = 32,259,634.71/7,966.98
  6. Step 6: Final answer
    x = 4,049.17

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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.