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Finding the Fourth Proportional to 11,386.70, 17,079.09 and 6,440.78

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Solution

The fourth proportional to 11,386.70, 17,079.09 and 6,440.78 is: 9,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.70 : 17,079.09 = 6,440.78 : x
  2. Step 2: Convert to fraction form
    11,386.70/17,079.09 = 6,440.78/x
  3. Step 3: Cross multiply
    11,386.70x = 17,079.09 × 6,440.78
  4. Step 4: Simplify right side
    11,386.70x = 110,002,661.29
  5. Step 5: Solve for x
    x = 110,002,661.29/11,386.70
  6. Step 6: Final answer
    x = 9,660.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.