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Finding the Fourth Proportional to 11,527.82, 15,908.23 and 6,492.54

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Solution

The fourth proportional to 11,527.82, 15,908.23 and 6,492.54 is: 8,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.82 : 15,908.23 = 6,492.54 : x
  2. Step 2: Convert to fraction form
    11,527.82/15,908.23 = 6,492.54/x
  3. Step 3: Cross multiply
    11,527.82x = 15,908.23 × 6,492.54
  4. Step 4: Simplify right side
    11,527.82x = 103,284,797.89
  5. Step 5: Solve for x
    x = 103,284,797.89/11,527.82
  6. Step 6: Final answer
    x = 8,959.61

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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.