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Finding the Fourth Proportional to 7,144.32, 10,716.38 and 1,950.20

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Solution

The fourth proportional to 7,144.32, 10,716.38 and 1,950.20 is: 2,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.32 : 10,716.38 = 1,950.20 : x
  2. Step 2: Convert to fraction form
    7,144.32/10,716.38 = 1,950.20/x
  3. Step 3: Cross multiply
    7,144.32x = 10,716.38 × 1,950.20
  4. Step 4: Simplify right side
    7,144.32x = 20,899,084.28
  5. Step 5: Solve for x
    x = 20,899,084.28/7,144.32
  6. Step 6: Final answer
    x = 2,925.27

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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.