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Finding the Fourth Proportional to 11,805.45, 16,291.53 and 6,500.27

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Solution

The fourth proportional to 11,805.45, 16,291.53 and 6,500.27 is: 8,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.45 : 16,291.53 = 6,500.27 : x
  2. Step 2: Convert to fraction form
    11,805.45/16,291.53 = 6,500.27/x
  3. Step 3: Cross multiply
    11,805.45x = 16,291.53 × 6,500.27
  4. Step 4: Simplify right side
    11,805.45x = 105,899,262.26
  5. Step 5: Solve for x
    x = 105,899,262.26/11,805.45
  6. Step 6: Final answer
    x = 8,970.37

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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.