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Finding the Fourth Proportional to 11,509.89, 17,264.76 and 2,961.32

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Solution

The fourth proportional to 11,509.89, 17,264.76 and 2,961.32 is: 4,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.89 : 17,264.76 = 2,961.32 : x
  2. Step 2: Convert to fraction form
    11,509.89/17,264.76 = 2,961.32/x
  3. Step 3: Cross multiply
    11,509.89x = 17,264.76 × 2,961.32
  4. Step 4: Simplify right side
    11,509.89x = 51,126,479.08
  5. Step 5: Solve for x
    x = 51,126,479.08/11,509.89
  6. Step 6: Final answer
    x = 4,441.96

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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.