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Finding the Fourth Proportional to 7,304.16, 10,946.94 and 3,139.20

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Solution

The fourth proportional to 7,304.16, 10,946.94 and 3,139.20 is: 4,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.16 : 10,946.94 = 3,139.20 : x
  2. Step 2: Convert to fraction form
    7,304.16/10,946.94 = 3,139.20/x
  3. Step 3: Cross multiply
    7,304.16x = 10,946.94 × 3,139.20
  4. Step 4: Simplify right side
    7,304.16x = 34,364,634.05
  5. Step 5: Solve for x
    x = 34,364,634.05/7,304.16
  6. Step 6: Final answer
    x = 4,704.80

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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.