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Finding the Fourth Proportional to 11,805.86, 16,292.18 and 6,500.86

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Solution

The fourth proportional to 11,805.86, 16,292.18 and 6,500.86 is: 8,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.86 : 16,292.18 = 6,500.86 : x
  2. Step 2: Convert to fraction form
    11,805.86/16,292.18 = 6,500.86/x
  3. Step 3: Cross multiply
    11,805.86x = 16,292.18 × 6,500.86
  4. Step 4: Simplify right side
    11,805.86x = 105,913,181.27
  5. Step 5: Solve for x
    x = 105,913,181.27/11,805.86
  6. Step 6: Final answer
    x = 8,971.24

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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.