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Finding the Fourth Proportional to 7,286, 10,928.06 and 2,355.14

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Solution

The fourth proportional to 7,286, 10,928.06 and 2,355.14 is: 3,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286 : 10,928.06 = 2,355.14 : x
  2. Step 2: Convert to fraction form
    7,286/10,928.06 = 2,355.14/x
  3. Step 3: Cross multiply
    7,286x = 10,928.06 × 2,355.14
  4. Step 4: Simplify right side
    7,286x = 25,737,099.45
  5. Step 5: Solve for x
    x = 25,737,099.45/7,286
  6. Step 6: Final answer
    x = 3,532.40

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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.