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Finding the Fourth Proportional to 11,676.46, 17,521.88 and 6,133.78

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Solution

The fourth proportional to 11,676.46, 17,521.88 and 6,133.78 is: 9,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.46 : 17,521.88 = 6,133.78 : x
  2. Step 2: Convert to fraction form
    11,676.46/17,521.88 = 6,133.78/x
  3. Step 3: Cross multiply
    11,676.46x = 17,521.88 × 6,133.78
  4. Step 4: Simplify right side
    11,676.46x = 107,475,357.11
  5. Step 5: Solve for x
    x = 107,475,357.11/11,676.46
  6. Step 6: Final answer
    x = 9,204.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.