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Finding the Fourth Proportional to 11,186.82, 16,782.53 and 4,613.45

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Solution

The fourth proportional to 11,186.82, 16,782.53 and 4,613.45 is: 6,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.82 : 16,782.53 = 4,613.45 : x
  2. Step 2: Convert to fraction form
    11,186.82/16,782.53 = 4,613.45/x
  3. Step 3: Cross multiply
    11,186.82x = 16,782.53 × 4,613.45
  4. Step 4: Simplify right side
    11,186.82x = 77,425,256.05
  5. Step 5: Solve for x
    x = 77,425,256.05/11,186.82
  6. Step 6: Final answer
    x = 6,921.11

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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.