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Finding the Fourth Proportional to 11,766.10, 16,238.91 and 7,050.82

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Solution

The fourth proportional to 11,766.10, 16,238.91 and 7,050.82 is: 9,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.10 : 16,238.91 = 7,050.82 : x
  2. Step 2: Convert to fraction form
    11,766.10/16,238.91 = 7,050.82/x
  3. Step 3: Cross multiply
    11,766.10x = 16,238.91 × 7,050.82
  4. Step 4: Simplify right side
    11,766.10x = 114,497,617.25
  5. Step 5: Solve for x
    x = 114,497,617.25/11,766.10
  6. Step 6: Final answer
    x = 9,731.15

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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.