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Finding the Fourth Proportional to 11,527.86, 17,290.76 and 3,207.69

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Solution

The fourth proportional to 11,527.86, 17,290.76 and 3,207.69 is: 4,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.86 : 17,290.76 = 3,207.69 : x
  2. Step 2: Convert to fraction form
    11,527.86/17,290.76 = 3,207.69/x
  3. Step 3: Cross multiply
    11,527.86x = 17,290.76 × 3,207.69
  4. Step 4: Simplify right side
    11,527.86x = 55,463,397.94
  5. Step 5: Solve for x
    x = 55,463,397.94/11,527.86
  6. Step 6: Final answer
    x = 4,811.25

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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.