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Finding the Fourth Proportional to 11,434.14, 17,152.83 and 4,036.14

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Solution

The fourth proportional to 11,434.14, 17,152.83 and 4,036.14 is: 6,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.14 : 17,152.83 = 4,036.14 : x
  2. Step 2: Convert to fraction form
    11,434.14/17,152.83 = 4,036.14/x
  3. Step 3: Cross multiply
    11,434.14x = 17,152.83 × 4,036.14
  4. Step 4: Simplify right side
    11,434.14x = 69,231,223.28
  5. Step 5: Solve for x
    x = 69,231,223.28/11,434.14
  6. Step 6: Final answer
    x = 6,054.78

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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.