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Finding the Fourth Proportional to 12,710.09, 17,537.79 and 8,467.49

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Solution

The fourth proportional to 12,710.09, 17,537.79 and 8,467.49 is: 11,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.09 : 17,537.79 = 8,467.49 : x
  2. Step 2: Convert to fraction form
    12,710.09/17,537.79 = 8,467.49/x
  3. Step 3: Cross multiply
    12,710.09x = 17,537.79 × 8,467.49
  4. Step 4: Simplify right side
    12,710.09x = 148,501,014.58
  5. Step 5: Solve for x
    x = 148,501,014.58/12,710.09
  6. Step 6: Final answer
    x = 11,683.71

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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.