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Finding the Fourth Proportional to 11,803.86, 16,289.42 and 6,498.86

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Solution

The fourth proportional to 11,803.86, 16,289.42 and 6,498.86 is: 8,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.86 : 16,289.42 = 6,498.86 : x
  2. Step 2: Convert to fraction form
    11,803.86/16,289.42 = 6,498.86/x
  3. Step 3: Cross multiply
    11,803.86x = 16,289.42 × 6,498.86
  4. Step 4: Simplify right side
    11,803.86x = 105,862,546.12
  5. Step 5: Solve for x
    x = 105,862,546.12/11,803.86
  6. Step 6: Final answer
    x = 8,968.47

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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.