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Finding the Fourth Proportional to 11,891.12, 16,411.56 and 7,415.60

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Solution

The fourth proportional to 11,891.12, 16,411.56 and 7,415.60 is: 10,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.12 : 16,411.56 = 7,415.60 : x
  2. Step 2: Convert to fraction form
    11,891.12/16,411.56 = 7,415.60/x
  3. Step 3: Cross multiply
    11,891.12x = 16,411.56 × 7,415.60
  4. Step 4: Simplify right side
    11,891.12x = 121,701,564.34
  5. Step 5: Solve for x
    x = 121,701,564.34/11,891.12
  6. Step 6: Final answer
    x = 10,234.66

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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.