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Finding the Fourth Proportional to 11,659.28, 17,488.80 and 4,447.64

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Solution

The fourth proportional to 11,659.28, 17,488.80 and 4,447.64 is: 6,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.28 : 17,488.80 = 4,447.64 : x
  2. Step 2: Convert to fraction form
    11,659.28/17,488.80 = 4,447.64/x
  3. Step 3: Cross multiply
    11,659.28x = 17,488.80 × 4,447.64
  4. Step 4: Simplify right side
    11,659.28x = 77,783,886.43
  5. Step 5: Solve for x
    x = 77,783,886.43/11,659.28
  6. Step 6: Final answer
    x = 6,671.41

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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.