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Finding the Fourth Proportional to 7,625, 11,458.02 and 7,126.76

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Solution

The fourth proportional to 7,625, 11,458.02 and 7,126.76 is: 10,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625 : 11,458.02 = 7,126.76 : x
  2. Step 2: Convert to fraction form
    7,625/11,458.02 = 7,126.76/x
  3. Step 3: Cross multiply
    7,625x = 11,458.02 × 7,126.76
  4. Step 4: Simplify right side
    7,625x = 81,658,558.62
  5. Step 5: Solve for x
    x = 81,658,558.62/7,625
  6. Step 6: Final answer
    x = 10,709.32

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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.