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Finding the Fourth Proportional to 11,527.34, 17,296.41 and 5,680.76

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Solution

The fourth proportional to 11,527.34, 17,296.41 and 5,680.76 is: 8,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.34 : 17,296.41 = 5,680.76 : x
  2. Step 2: Convert to fraction form
    11,527.34/17,296.41 = 5,680.76/x
  3. Step 3: Cross multiply
    11,527.34x = 17,296.41 × 5,680.76
  4. Step 4: Simplify right side
    11,527.34x = 98,256,754.07
  5. Step 5: Solve for x
    x = 98,256,754.07/11,527.34
  6. Step 6: Final answer
    x = 8,523.80

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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.