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Finding the Fourth Proportional to 11,506.86, 15,879.65 and 6,471.50

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Solution

The fourth proportional to 11,506.86, 15,879.65 and 6,471.50 is: 8,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.86 : 15,879.65 = 6,471.50 : x
  2. Step 2: Convert to fraction form
    11,506.86/15,879.65 = 6,471.50/x
  3. Step 3: Cross multiply
    11,506.86x = 15,879.65 × 6,471.50
  4. Step 4: Simplify right side
    11,506.86x = 102,765,043.22
  5. Step 5: Solve for x
    x = 102,765,043.22/11,506.86
  6. Step 6: Final answer
    x = 8,930.76

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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.