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Finding the Fourth Proportional to 11,578.32, 17,358.84 and 5,420.88

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Solution

The fourth proportional to 11,578.32, 17,358.84 and 5,420.88 is: 8,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.32 : 17,358.84 = 5,420.88 : x
  2. Step 2: Convert to fraction form
    11,578.32/17,358.84 = 5,420.88/x
  3. Step 3: Cross multiply
    11,578.32x = 17,358.84 × 5,420.88
  4. Step 4: Simplify right side
    11,578.32x = 94,100,188.58
  5. Step 5: Solve for x
    x = 94,100,188.58/11,578.32
  6. Step 6: Final answer
    x = 8,127.27

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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.