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Finding the Fourth Proportional to 10,676.51, 14,732.74 and 6,199.53

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Solution

The fourth proportional to 10,676.51, 14,732.74 and 6,199.53 is: 8,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.51 : 14,732.74 = 6,199.53 : x
  2. Step 2: Convert to fraction form
    10,676.51/14,732.74 = 6,199.53/x
  3. Step 3: Cross multiply
    10,676.51x = 14,732.74 × 6,199.53
  4. Step 4: Simplify right side
    10,676.51x = 91,336,063.61
  5. Step 5: Solve for x
    x = 91,336,063.61/10,676.51
  6. Step 6: Final answer
    x = 8,554.86

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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.