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Finding the Fourth Proportional to 10,882.96, 16,324.44 and 5,038

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Solution

The fourth proportional to 10,882.96, 16,324.44 and 5,038 is: 7,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.96 : 16,324.44 = 5,038 : x
  2. Step 2: Convert to fraction form
    10,882.96/16,324.44 = 5,038/x
  3. Step 3: Cross multiply
    10,882.96x = 16,324.44 × 5,038
  4. Step 4: Simplify right side
    10,882.96x = 82,242,528.72
  5. Step 5: Solve for x
    x = 82,242,528.72/10,882.96
  6. Step 6: Final answer
    x = 7,557.00

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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.