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Finding the Fourth Proportional to 6,896.80, 10,345.20 and 4,434.40

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Solution

The fourth proportional to 6,896.80, 10,345.20 and 4,434.40 is: 6,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.80 : 10,345.20 = 4,434.40 : x
  2. Step 2: Convert to fraction form
    6,896.80/10,345.20 = 4,434.40/x
  3. Step 3: Cross multiply
    6,896.80x = 10,345.20 × 4,434.40
  4. Step 4: Simplify right side
    6,896.80x = 45,874,754.88
  5. Step 5: Solve for x
    x = 45,874,754.88/6,896.80
  6. Step 6: Final answer
    x = 6,651.60

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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.