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Finding the Fourth Proportional to 11,764.32, 17,635.20 and 5,915.28

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Solution

The fourth proportional to 11,764.32, 17,635.20 and 5,915.28 is: 8,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.32 : 17,635.20 = 5,915.28 : x
  2. Step 2: Convert to fraction form
    11,764.32/17,635.20 = 5,915.28/x
  3. Step 3: Cross multiply
    11,764.32x = 17,635.20 × 5,915.28
  4. Step 4: Simplify right side
    11,764.32x = 104,317,145.86
  5. Step 5: Solve for x
    x = 104,317,145.86/11,764.32
  6. Step 6: Final answer
    x = 8,867.25

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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.