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Finding the Fourth Proportional to 11,159.45, 16,713.53 and 6,467.86

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Solution

The fourth proportional to 11,159.45, 16,713.53 and 6,467.86 is: 9,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.45 : 16,713.53 = 6,467.86 : x
  2. Step 2: Convert to fraction form
    11,159.45/16,713.53 = 6,467.86/x
  3. Step 3: Cross multiply
    11,159.45x = 16,713.53 × 6,467.86
  4. Step 4: Simplify right side
    11,159.45x = 108,100,690.94
  5. Step 5: Solve for x
    x = 108,100,690.94/11,159.45
  6. Step 6: Final answer
    x = 9,686.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.