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Finding the Fourth Proportional to 11,146.88, 15,382.85 and 7,169.31

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Solution

The fourth proportional to 11,146.88, 15,382.85 and 7,169.31 is: 9,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.88 : 15,382.85 = 7,169.31 : x
  2. Step 2: Convert to fraction form
    11,146.88/15,382.85 = 7,169.31/x
  3. Step 3: Cross multiply
    11,146.88x = 15,382.85 × 7,169.31
  4. Step 4: Simplify right side
    11,146.88x = 110,284,384.49
  5. Step 5: Solve for x
    x = 110,284,384.49/11,146.88
  6. Step 6: Final answer
    x = 9,893.74

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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.