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Finding the Fourth Proportional to 11,684.79, 17,527.34 and 3,364.95

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Solution

The fourth proportional to 11,684.79, 17,527.34 and 3,364.95 is: 5,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.79 : 17,527.34 = 3,364.95 : x
  2. Step 2: Convert to fraction form
    11,684.79/17,527.34 = 3,364.95/x
  3. Step 3: Cross multiply
    11,684.79x = 17,527.34 × 3,364.95
  4. Step 4: Simplify right side
    11,684.79x = 58,978,565.42
  5. Step 5: Solve for x
    x = 58,978,565.42/11,684.79
  6. Step 6: Final answer
    x = 5,047.46

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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.