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Finding the Fourth Proportional to 11,527.76, 17,247.89 and 7,134.32

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Solution

The fourth proportional to 11,527.76, 17,247.89 and 7,134.32 is: 10,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.76 : 17,247.89 = 7,134.32 : x
  2. Step 2: Convert to fraction form
    11,527.76/17,247.89 = 7,134.32/x
  3. Step 3: Cross multiply
    11,527.76x = 17,247.89 × 7,134.32
  4. Step 4: Simplify right side
    11,527.76x = 123,051,930.91
  5. Step 5: Solve for x
    x = 123,051,930.91/11,527.76
  6. Step 6: Final answer
    x = 10,674.40

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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.