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Finding the Fourth Proportional to 11,222.71, 16,834.76 and 4,649.41

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Solution

The fourth proportional to 11,222.71, 16,834.76 and 4,649.41 is: 6,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.71 : 16,834.76 = 4,649.41 : x
  2. Step 2: Convert to fraction form
    11,222.71/16,834.76 = 4,649.41/x
  3. Step 3: Cross multiply
    11,222.71x = 16,834.76 × 4,649.41
  4. Step 4: Simplify right side
    11,222.71x = 78,271,701.49
  5. Step 5: Solve for x
    x = 78,271,701.49/11,222.71
  6. Step 6: Final answer
    x = 6,974.40

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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.