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Finding the Fourth Proportional to 11,166.88, 15,415.32 and 8,182.84

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Solution

The fourth proportional to 11,166.88, 15,415.32 and 8,182.84 is: 11,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.88 : 15,415.32 = 8,182.84 : x
  2. Step 2: Convert to fraction form
    11,166.88/15,415.32 = 8,182.84/x
  3. Step 3: Cross multiply
    11,166.88x = 15,415.32 × 8,182.84
  4. Step 4: Simplify right side
    11,166.88x = 126,141,097.11
  5. Step 5: Solve for x
    x = 126,141,097.11/11,166.88
  6. Step 6: Final answer
    x = 11,296.00

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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.