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Finding the Fourth Proportional to 7,946.46, 10,966.11 and 4,361.44

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Solution

The fourth proportional to 7,946.46, 10,966.11 and 4,361.44 is: 6,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.46 : 10,966.11 = 4,361.44 : x
  2. Step 2: Convert to fraction form
    7,946.46/10,966.11 = 4,361.44/x
  3. Step 3: Cross multiply
    7,946.46x = 10,966.11 × 4,361.44
  4. Step 4: Simplify right side
    7,946.46x = 47,828,030.80
  5. Step 5: Solve for x
    x = 47,828,030.80/7,946.46
  6. Step 6: Final answer
    x = 6,018.78

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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.