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Finding the Fourth Proportional to 11,435.38, 17,139.40 and 6,498.23

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Solution

The fourth proportional to 11,435.38, 17,139.40 and 6,498.23 is: 9,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.38 : 17,139.40 = 6,498.23 : x
  2. Step 2: Convert to fraction form
    11,435.38/17,139.40 = 6,498.23/x
  3. Step 3: Cross multiply
    11,435.38x = 17,139.40 × 6,498.23
  4. Step 4: Simplify right side
    11,435.38x = 111,375,661.32
  5. Step 5: Solve for x
    x = 111,375,661.32/11,435.38
  6. Step 6: Final answer
    x = 9,739.57

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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.