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Finding the Fourth Proportional to 10,765.10, 16,147.49 and 5,218.92

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Solution

The fourth proportional to 10,765.10, 16,147.49 and 5,218.92 is: 7,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.10 : 16,147.49 = 5,218.92 : x
  2. Step 2: Convert to fraction form
    10,765.10/16,147.49 = 5,218.92/x
  3. Step 3: Cross multiply
    10,765.10x = 16,147.49 × 5,218.92
  4. Step 4: Simplify right side
    10,765.10x = 84,272,432.42
  5. Step 5: Solve for x
    x = 84,272,432.42/10,765.10
  6. Step 6: Final answer
    x = 7,828.30

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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.