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Finding the Fourth Proportional to 12,760.68, 17,609.94 and 7,095.78

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Solution

The fourth proportional to 12,760.68, 17,609.94 and 7,095.78 is: 9,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.68 : 17,609.94 = 7,095.78 : x
  2. Step 2: Convert to fraction form
    12,760.68/17,609.94 = 7,095.78/x
  3. Step 3: Cross multiply
    12,760.68x = 17,609.94 × 7,095.78
  4. Step 4: Simplify right side
    12,760.68x = 124,956,260.05
  5. Step 5: Solve for x
    x = 124,956,260.05/12,760.68
  6. Step 6: Final answer
    x = 9,792.29

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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.