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Finding the Fourth Proportional to 12,610.84, 17,404.63 and 8,147.57

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Solution

The fourth proportional to 12,610.84, 17,404.63 and 8,147.57 is: 11,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.84 : 17,404.63 = 8,147.57 : x
  2. Step 2: Convert to fraction form
    12,610.84/17,404.63 = 8,147.57/x
  3. Step 3: Cross multiply
    12,610.84x = 17,404.63 × 8,147.57
  4. Step 4: Simplify right side
    12,610.84x = 141,805,400.51
  5. Step 5: Solve for x
    x = 141,805,400.51/12,610.84
  6. Step 6: Final answer
    x = 11,244.73

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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.