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Finding the Fourth Proportional to 8,426.44, 11,628.54 and 4,649.74

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Solution

The fourth proportional to 8,426.44, 11,628.54 and 4,649.74 is: 6,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.44 : 11,628.54 = 4,649.74 : x
  2. Step 2: Convert to fraction form
    8,426.44/11,628.54 = 4,649.74/x
  3. Step 3: Cross multiply
    8,426.44x = 11,628.54 × 4,649.74
  4. Step 4: Simplify right side
    8,426.44x = 54,069,687.58
  5. Step 5: Solve for x
    x = 54,069,687.58/8,426.44
  6. Step 6: Final answer
    x = 6,416.67

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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.