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Finding the Fourth Proportional to 7,668.46, 11,502.69 and 2,474.34

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Solution

The fourth proportional to 7,668.46, 11,502.69 and 2,474.34 is: 3,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.46 : 11,502.69 = 2,474.34 : x
  2. Step 2: Convert to fraction form
    7,668.46/11,502.69 = 2,474.34/x
  3. Step 3: Cross multiply
    7,668.46x = 11,502.69 × 2,474.34
  4. Step 4: Simplify right side
    7,668.46x = 28,461,565.97
  5. Step 5: Solve for x
    x = 28,461,565.97/7,668.46
  6. Step 6: Final answer
    x = 3,711.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.