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Finding the Fourth Proportional to 7,171.47, 10,758.54 and 3,222.63

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Solution

The fourth proportional to 7,171.47, 10,758.54 and 3,222.63 is: 4,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.47 : 10,758.54 = 3,222.63 : x
  2. Step 2: Convert to fraction form
    7,171.47/10,758.54 = 3,222.63/x
  3. Step 3: Cross multiply
    7,171.47x = 10,758.54 × 3,222.63
  4. Step 4: Simplify right side
    7,171.47x = 34,670,793.76
  5. Step 5: Solve for x
    x = 34,670,793.76/7,171.47
  6. Step 6: Final answer
    x = 4,834.54

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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.