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Finding the Fourth Proportional to 7,546.65, 10,414.68 and 4,561.92

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Solution

The fourth proportional to 7,546.65, 10,414.68 and 4,561.92 is: 6,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.65 : 10,414.68 = 4,561.92 : x
  2. Step 2: Convert to fraction form
    7,546.65/10,414.68 = 4,561.92/x
  3. Step 3: Cross multiply
    7,546.65x = 10,414.68 × 4,561.92
  4. Step 4: Simplify right side
    7,546.65x = 47,510,936.99
  5. Step 5: Solve for x
    x = 47,510,936.99/7,546.65
  6. Step 6: Final answer
    x = 6,295.63

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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.