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Finding the Fourth Proportional to 8,608.40, 12,896.40 and 4,434.20

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Solution

The fourth proportional to 8,608.40, 12,896.40 and 4,434.20 is: 6,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,608.40 : 12,896.40 = 4,434.20 : x
  2. Step 2: Convert to fraction form
    8,608.40/12,896.40 = 4,434.20/x
  3. Step 3: Cross multiply
    8,608.40x = 12,896.40 × 4,434.20
  4. Step 4: Simplify right side
    8,608.40x = 57,185,216.88
  5. Step 5: Solve for x
    x = 57,185,216.88/8,608.40
  6. Step 6: Final answer
    x = 6,642.96

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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.