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Finding the Fourth Proportional to 7,304.46, 10,966.41 and 3,844.14

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Solution

The fourth proportional to 7,304.46, 10,966.41 and 3,844.14 is: 5,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.46 : 10,966.41 = 3,844.14 : x
  2. Step 2: Convert to fraction form
    7,304.46/10,966.41 = 3,844.14/x
  3. Step 3: Cross multiply
    7,304.46x = 10,966.41 × 3,844.14
  4. Step 4: Simplify right side
    7,304.46x = 42,156,415.34
  5. Step 5: Solve for x
    x = 42,156,415.34/7,304.46
  6. Step 6: Final answer
    x = 5,771.33

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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.