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Finding the Fourth Proportional to 11,512.56, 15,889.84 and 7,527.12

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Solution

The fourth proportional to 11,512.56, 15,889.84 and 7,527.12 is: 10,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.56 : 15,889.84 = 7,527.12 : x
  2. Step 2: Convert to fraction form
    11,512.56/15,889.84 = 7,527.12/x
  3. Step 3: Cross multiply
    11,512.56x = 15,889.84 × 7,527.12
  4. Step 4: Simplify right side
    11,512.56x = 119,604,732.46
  5. Step 5: Solve for x
    x = 119,604,732.46/11,512.56
  6. Step 6: Final answer
    x = 10,389.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.