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Finding the Fourth Proportional to 7,896.80, 11,846.64 and 4,561.76

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Solution

The fourth proportional to 7,896.80, 11,846.64 and 4,561.76 is: 6,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.80 : 11,846.64 = 4,561.76 : x
  2. Step 2: Convert to fraction form
    7,896.80/11,846.64 = 4,561.76/x
  3. Step 3: Cross multiply
    7,896.80x = 11,846.64 × 4,561.76
  4. Step 4: Simplify right side
    7,896.80x = 54,041,528.49
  5. Step 5: Solve for x
    x = 54,041,528.49/7,896.80
  6. Step 6: Final answer
    x = 6,843.47

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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.