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Finding the Fourth Proportional to 12,512.89, 17,261.13 and 7,735.51

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Solution

The fourth proportional to 12,512.89, 17,261.13 and 7,735.51 is: 10,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.89 : 17,261.13 = 7,735.51 : x
  2. Step 2: Convert to fraction form
    12,512.89/17,261.13 = 7,735.51/x
  3. Step 3: Cross multiply
    12,512.89x = 17,261.13 × 7,735.51
  4. Step 4: Simplify right side
    12,512.89x = 133,523,643.73
  5. Step 5: Solve for x
    x = 133,523,643.73/12,512.89
  6. Step 6: Final answer
    x = 10,670.89

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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.