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Finding the Fourth Proportional to 11,758.86, 17,632.08 and 5,181.93

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Solution

The fourth proportional to 11,758.86, 17,632.08 and 5,181.93 is: 7,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.86 : 17,632.08 = 5,181.93 : x
  2. Step 2: Convert to fraction form
    11,758.86/17,632.08 = 5,181.93/x
  3. Step 3: Cross multiply
    11,758.86x = 17,632.08 × 5,181.93
  4. Step 4: Simplify right side
    11,758.86x = 91,368,204.31
  5. Step 5: Solve for x
    x = 91,368,204.31/11,758.86
  6. Step 6: Final answer
    x = 7,770.16

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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.