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Finding the Fourth Proportional to 7,954.48, 11,907.96 and 4,825

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Solution

The fourth proportional to 7,954.48, 11,907.96 and 4,825 is: 7,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.48 : 11,907.96 = 4,825 : x
  2. Step 2: Convert to fraction form
    7,954.48/11,907.96 = 4,825/x
  3. Step 3: Cross multiply
    7,954.48x = 11,907.96 × 4,825
  4. Step 4: Simplify right side
    7,954.48x = 57,455,907.00
  5. Step 5: Solve for x
    x = 57,455,907.00/7,954.48
  6. Step 6: Final answer
    x = 7,223.09

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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.