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Finding the Fourth Proportional to 11,749.26, 16,216.02 and 7,036.29

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Solution

The fourth proportional to 11,749.26, 16,216.02 and 7,036.29 is: 9,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.26 : 16,216.02 = 7,036.29 : x
  2. Step 2: Convert to fraction form
    11,749.26/16,216.02 = 7,036.29/x
  3. Step 3: Cross multiply
    11,749.26x = 16,216.02 × 7,036.29
  4. Step 4: Simplify right side
    11,749.26x = 114,100,619.37
  5. Step 5: Solve for x
    x = 114,100,619.37/11,749.26
  6. Step 6: Final answer
    x = 9,711.30

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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.