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Finding the Fourth Proportional to 10,527.25, 14,527.09 and 6,049.97

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Solution

The fourth proportional to 10,527.25, 14,527.09 and 6,049.97 is: 8,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.25 : 14,527.09 = 6,049.97 : x
  2. Step 2: Convert to fraction form
    10,527.25/14,527.09 = 6,049.97/x
  3. Step 3: Cross multiply
    10,527.25x = 14,527.09 × 6,049.97
  4. Step 4: Simplify right side
    10,527.25x = 87,888,479.88
  5. Step 5: Solve for x
    x = 87,888,479.88/10,527.25
  6. Step 6: Final answer
    x = 8,348.67

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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.