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Finding the Fourth Proportional to 12,758.12, 17,609.88 and 7,722.36

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Solution

The fourth proportional to 12,758.12, 17,609.88 and 7,722.36 is: 10,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.12 : 17,609.88 = 7,722.36 : x
  2. Step 2: Convert to fraction form
    12,758.12/17,609.88 = 7,722.36/x
  3. Step 3: Cross multiply
    12,758.12x = 17,609.88 × 7,722.36
  4. Step 4: Simplify right side
    12,758.12x = 135,989,832.92
  5. Step 5: Solve for x
    x = 135,989,832.92/12,758.12
  6. Step 6: Final answer
    x = 10,659.08

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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.