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Finding the Fourth Proportional to 10,954.25, 15,145.67 and 10,464.65

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Solution

The fourth proportional to 10,954.25, 15,145.67 and 10,464.65 is: 14,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.25 : 15,145.67 = 10,464.65 : x
  2. Step 2: Convert to fraction form
    10,954.25/15,145.67 = 10,464.65/x
  3. Step 3: Cross multiply
    10,954.25x = 15,145.67 × 10,464.65
  4. Step 4: Simplify right side
    10,954.25x = 158,494,135.57
  5. Step 5: Solve for x
    x = 158,494,135.57/10,954.25
  6. Step 6: Final answer
    x = 14,468.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.