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Finding the Fourth Proportional to 11,655.08, 16,083.99 and 6,349.90

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Solution

The fourth proportional to 11,655.08, 16,083.99 and 6,349.90 is: 8,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.08 : 16,083.99 = 6,349.90 : x
  2. Step 2: Convert to fraction form
    11,655.08/16,083.99 = 6,349.90/x
  3. Step 3: Cross multiply
    11,655.08x = 16,083.99 × 6,349.90
  4. Step 4: Simplify right side
    11,655.08x = 102,131,728.10
  5. Step 5: Solve for x
    x = 102,131,728.10/11,655.08
  6. Step 6: Final answer
    x = 8,762.85

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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.