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Finding the Fourth Proportional to 7,606.71, 11,392.11 and 5,257.98

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Solution

The fourth proportional to 7,606.71, 11,392.11 and 5,257.98 is: 7,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.71 : 11,392.11 = 5,257.98 : x
  2. Step 2: Convert to fraction form
    7,606.71/11,392.11 = 5,257.98/x
  3. Step 3: Cross multiply
    7,606.71x = 11,392.11 × 5,257.98
  4. Step 4: Simplify right side
    7,606.71x = 59,899,486.54
  5. Step 5: Solve for x
    x = 59,899,486.54/7,606.71
  6. Step 6: Final answer
    x = 7,874.56

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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.