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Finding the Fourth Proportional to 10,885.41, 16,324.16 and 4,646.09

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Solution

The fourth proportional to 10,885.41, 16,324.16 and 4,646.09 is: 6,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.41 : 16,324.16 = 4,646.09 : x
  2. Step 2: Convert to fraction form
    10,885.41/16,324.16 = 4,646.09/x
  3. Step 3: Cross multiply
    10,885.41x = 16,324.16 × 4,646.09
  4. Step 4: Simplify right side
    10,885.41x = 75,843,411.68
  5. Step 5: Solve for x
    x = 75,843,411.68/10,885.41
  6. Step 6: Final answer
    x = 6,967.44

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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.