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Finding the Fourth Proportional to 11,502, 17,257.05 and 5,662.71

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Solution

The fourth proportional to 11,502, 17,257.05 and 5,662.71 is: 8,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502 : 17,257.05 = 5,662.71 : x
  2. Step 2: Convert to fraction form
    11,502/17,257.05 = 5,662.71/x
  3. Step 3: Cross multiply
    11,502x = 17,257.05 × 5,662.71
  4. Step 4: Simplify right side
    11,502x = 97,721,669.61
  5. Step 5: Solve for x
    x = 97,721,669.61/11,502
  6. Step 6: Final answer
    x = 8,496.06

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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.