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Finding the Fourth Proportional to 11,538.64, 15,923.65 and 6,434.27

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Solution

The fourth proportional to 11,538.64, 15,923.65 and 6,434.27 is: 8,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.64 : 15,923.65 = 6,434.27 : x
  2. Step 2: Convert to fraction form
    11,538.64/15,923.65 = 6,434.27/x
  3. Step 3: Cross multiply
    11,538.64x = 15,923.65 × 6,434.27
  4. Step 4: Simplify right side
    11,538.64x = 102,457,063.49
  5. Step 5: Solve for x
    x = 102,457,063.49/11,538.64
  6. Step 6: Final answer
    x = 8,879.47

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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.