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Finding the Fourth Proportional to 11,756.86, 17,639.88 and 5,178.42

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Solution

The fourth proportional to 11,756.86, 17,639.88 and 5,178.42 is: 7,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.86 : 17,639.88 = 5,178.42 : x
  2. Step 2: Convert to fraction form
    11,756.86/17,639.88 = 5,178.42/x
  3. Step 3: Cross multiply
    11,756.86x = 17,639.88 × 5,178.42
  4. Step 4: Simplify right side
    11,756.86x = 91,346,707.39
  5. Step 5: Solve for x
    x = 91,346,707.39/11,756.86
  6. Step 6: Final answer
    x = 7,769.65

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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.