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Finding the Fourth Proportional to 11,791.32, 16,275.06 and 7,312.44

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Solution

The fourth proportional to 11,791.32, 16,275.06 and 7,312.44 is: 10,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.32 : 16,275.06 = 7,312.44 : x
  2. Step 2: Convert to fraction form
    11,791.32/16,275.06 = 7,312.44/x
  3. Step 3: Cross multiply
    11,791.32x = 16,275.06 × 7,312.44
  4. Step 4: Simplify right side
    11,791.32x = 119,010,399.75
  5. Step 5: Solve for x
    x = 119,010,399.75/11,791.32
  6. Step 6: Final answer
    x = 10,093.05

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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.