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Finding the Fourth Proportional to 7,966.14, 11,946.81 and 3,804

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Solution

The fourth proportional to 7,966.14, 11,946.81 and 3,804 is: 5,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.14 : 11,946.81 = 3,804 : x
  2. Step 2: Convert to fraction form
    7,966.14/11,946.81 = 3,804/x
  3. Step 3: Cross multiply
    7,966.14x = 11,946.81 × 3,804
  4. Step 4: Simplify right side
    7,966.14x = 45,445,665.24
  5. Step 5: Solve for x
    x = 45,445,665.24/7,966.14
  6. Step 6: Final answer
    x = 5,704.85

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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.