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Finding the Fourth Proportional to 11,778.31, 16,254.98 and 6,744.12

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Solution

The fourth proportional to 11,778.31, 16,254.98 and 6,744.12 is: 9,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.31 : 16,254.98 = 6,744.12 : x
  2. Step 2: Convert to fraction form
    11,778.31/16,254.98 = 6,744.12/x
  3. Step 3: Cross multiply
    11,778.31x = 16,254.98 × 6,744.12
  4. Step 4: Simplify right side
    11,778.31x = 109,625,535.72
  5. Step 5: Solve for x
    x = 109,625,535.72/11,778.31
  6. Step 6: Final answer
    x = 9,307.41

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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.