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Finding the Fourth Proportional to 11,420.58, 15,761.32 and 6,384.80

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Solution

The fourth proportional to 11,420.58, 15,761.32 and 6,384.80 is: 8,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.58 : 15,761.32 = 6,384.80 : x
  2. Step 2: Convert to fraction form
    11,420.58/15,761.32 = 6,384.80/x
  3. Step 3: Cross multiply
    11,420.58x = 15,761.32 × 6,384.80
  4. Step 4: Simplify right side
    11,420.58x = 100,632,875.94
  5. Step 5: Solve for x
    x = 100,632,875.94/11,420.58
  6. Step 6: Final answer
    x = 8,811.54

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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.