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Finding the Fourth Proportional to 11,650.87, 16,078.53 and 6,345.78

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Solution

The fourth proportional to 11,650.87, 16,078.53 and 6,345.78 is: 8,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.87 : 16,078.53 = 6,345.78 : x
  2. Step 2: Convert to fraction form
    11,650.87/16,078.53 = 6,345.78/x
  3. Step 3: Cross multiply
    11,650.87x = 16,078.53 × 6,345.78
  4. Step 4: Simplify right side
    11,650.87x = 102,030,814.10
  5. Step 5: Solve for x
    x = 102,030,814.10/11,650.87
  6. Step 6: Final answer
    x = 8,757.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.