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Finding the Fourth Proportional to 10,882, 16,324.20 and 3,484.72

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Solution

The fourth proportional to 10,882, 16,324.20 and 3,484.72 is: 5,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882 : 16,324.20 = 3,484.72 : x
  2. Step 2: Convert to fraction form
    10,882/16,324.20 = 3,484.72/x
  3. Step 3: Cross multiply
    10,882x = 16,324.20 × 3,484.72
  4. Step 4: Simplify right side
    10,882x = 56,885,266.22
  5. Step 5: Solve for x
    x = 56,885,266.22/10,882
  6. Step 6: Final answer
    x = 5,227.46

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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.