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Finding the Fourth Proportional to 10,676.33, 14,733.02 and 5,960.51

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Solution

The fourth proportional to 10,676.33, 14,733.02 and 5,960.51 is: 8,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.33 : 14,733.02 = 5,960.51 : x
  2. Step 2: Convert to fraction form
    10,676.33/14,733.02 = 5,960.51/x
  3. Step 3: Cross multiply
    10,676.33x = 14,733.02 × 5,960.51
  4. Step 4: Simplify right side
    10,676.33x = 87,816,254.28
  5. Step 5: Solve for x
    x = 87,816,254.28/10,676.33
  6. Step 6: Final answer
    x = 8,225.33

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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.