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Finding the Fourth Proportional to 11,750.36, 16,215.17 and 6,713.78

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Solution

The fourth proportional to 11,750.36, 16,215.17 and 6,713.78 is: 9,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.36 : 16,215.17 = 6,713.78 : x
  2. Step 2: Convert to fraction form
    11,750.36/16,215.17 = 6,713.78/x
  3. Step 3: Cross multiply
    11,750.36x = 16,215.17 × 6,713.78
  4. Step 4: Simplify right side
    11,750.36x = 108,864,969.40
  5. Step 5: Solve for x
    x = 108,864,969.40/11,750.36
  6. Step 6: Final answer
    x = 9,264.82

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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.