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Finding the Fourth Proportional to 8,515, 11,743.14 and 5,527.99

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Solution

The fourth proportional to 8,515, 11,743.14 and 5,527.99 is: 7,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515 : 11,743.14 = 5,527.99 : x
  2. Step 2: Convert to fraction form
    8,515/11,743.14 = 5,527.99/x
  3. Step 3: Cross multiply
    8,515x = 11,743.14 × 5,527.99
  4. Step 4: Simplify right side
    8,515x = 64,915,960.49
  5. Step 5: Solve for x
    x = 64,915,960.49/8,515
  6. Step 6: Final answer
    x = 7,623.72

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Why These Related Problems?

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