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Finding the Fourth Proportional to 10,972.53, 16,454.70 and 3,950.64

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Solution

The fourth proportional to 10,972.53, 16,454.70 and 3,950.64 is: 5,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.53 : 16,454.70 = 3,950.64 : x
  2. Step 2: Convert to fraction form
    10,972.53/16,454.70 = 3,950.64/x
  3. Step 3: Cross multiply
    10,972.53x = 16,454.70 × 3,950.64
  4. Step 4: Simplify right side
    10,972.53x = 65,006,596.01
  5. Step 5: Solve for x
    x = 65,006,596.01/10,972.53
  6. Step 6: Final answer
    x = 5,924.49

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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.