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Finding the Fourth Proportional to 7,446.40, 10,277.30 and 4,304.42

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Solution

The fourth proportional to 7,446.40, 10,277.30 and 4,304.42 is: 5,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.40 : 10,277.30 = 4,304.42 : x
  2. Step 2: Convert to fraction form
    7,446.40/10,277.30 = 4,304.42/x
  3. Step 3: Cross multiply
    7,446.40x = 10,277.30 × 4,304.42
  4. Step 4: Simplify right side
    7,446.40x = 44,237,815.67
  5. Step 5: Solve for x
    x = 44,237,815.67/7,446.40
  6. Step 6: Final answer
    x = 5,940.83

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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.