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Finding the Fourth Proportional to 7,157.40, 10,721.70 and 4,551

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Solution

The fourth proportional to 7,157.40, 10,721.70 and 4,551 is: 6,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.40 : 10,721.70 = 4,551 : x
  2. Step 2: Convert to fraction form
    7,157.40/10,721.70 = 4,551/x
  3. Step 3: Cross multiply
    7,157.40x = 10,721.70 × 4,551
  4. Step 4: Simplify right side
    7,157.40x = 48,794,456.70
  5. Step 5: Solve for x
    x = 48,794,456.70/7,157.40
  6. Step 6: Final answer
    x = 6,817.34

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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.