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Finding the Fourth Proportional to 7,706.40, 11,562.02 and 3,325.92

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Solution

The fourth proportional to 7,706.40, 11,562.02 and 3,325.92 is: 4,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.40 : 11,562.02 = 3,325.92 : x
  2. Step 2: Convert to fraction form
    7,706.40/11,562.02 = 3,325.92/x
  3. Step 3: Cross multiply
    7,706.40x = 11,562.02 × 3,325.92
  4. Step 4: Simplify right side
    7,706.40x = 38,454,353.56
  5. Step 5: Solve for x
    x = 38,454,353.56/7,706.40
  6. Step 6: Final answer
    x = 4,989.92

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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.