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Finding the Fourth Proportional to 8,426.68, 11,628.90 and 4,649.92

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Solution

The fourth proportional to 8,426.68, 11,628.90 and 4,649.92 is: 6,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.68 : 11,628.90 = 4,649.92 : x
  2. Step 2: Convert to fraction form
    8,426.68/11,628.90 = 4,649.92/x
  3. Step 3: Cross multiply
    8,426.68x = 11,628.90 × 4,649.92
  4. Step 4: Simplify right side
    8,426.68x = 54,073,454.69
  5. Step 5: Solve for x
    x = 54,073,454.69/8,426.68
  6. Step 6: Final answer
    x = 6,416.93

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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.