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Finding the Fourth Proportional to 12,783.15, 17,634.60 and 7,676.10

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Solution

The fourth proportional to 12,783.15, 17,634.60 and 7,676.10 is: 10,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.15 : 17,634.60 = 7,676.10 : x
  2. Step 2: Convert to fraction form
    12,783.15/17,634.60 = 7,676.10/x
  3. Step 3: Cross multiply
    12,783.15x = 17,634.60 × 7,676.10
  4. Step 4: Simplify right side
    12,783.15x = 135,364,953.06
  5. Step 5: Solve for x
    x = 135,364,953.06/12,783.15
  6. Step 6: Final answer
    x = 10,589.33

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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.