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Finding the Fourth Proportional to 11,747.56, 16,212.02 and 6,710.71

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Solution

The fourth proportional to 11,747.56, 16,212.02 and 6,710.71 is: 9,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.56 : 16,212.02 = 6,710.71 : x
  2. Step 2: Convert to fraction form
    11,747.56/16,212.02 = 6,710.71/x
  3. Step 3: Cross multiply
    11,747.56x = 16,212.02 × 6,710.71
  4. Step 4: Simplify right side
    11,747.56x = 108,794,131.18
  5. Step 5: Solve for x
    x = 108,794,131.18/11,747.56
  6. Step 6: Final answer
    x = 9,261.00

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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.