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Finding the Fourth Proportional to 12,511.89, 17,259.75 and 7,734.51

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Solution

The fourth proportional to 12,511.89, 17,259.75 and 7,734.51 is: 10,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.89 : 17,259.75 = 7,734.51 : x
  2. Step 2: Convert to fraction form
    12,511.89/17,259.75 = 7,734.51/x
  3. Step 3: Cross multiply
    12,511.89x = 17,259.75 × 7,734.51
  4. Step 4: Simplify right side
    12,511.89x = 133,495,708.97
  5. Step 5: Solve for x
    x = 133,495,708.97/12,511.89
  6. Step 6: Final answer
    x = 10,669.51

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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.