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Finding the Fourth Proportional to 7,686.80, 11,532.02 and 3,304.30

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Solution

The fourth proportional to 7,686.80, 11,532.02 and 3,304.30 is: 4,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.80 : 11,532.02 = 3,304.30 : x
  2. Step 2: Convert to fraction form
    7,686.80/11,532.02 = 3,304.30/x
  3. Step 3: Cross multiply
    7,686.80x = 11,532.02 × 3,304.30
  4. Step 4: Simplify right side
    7,686.80x = 38,105,253.69
  5. Step 5: Solve for x
    x = 38,105,253.69/7,686.80
  6. Step 6: Final answer
    x = 4,957.23

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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.