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Finding the Fourth Proportional to 10,676.51, 14,733.28 and 5,960.69

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Solution

The fourth proportional to 10,676.51, 14,733.28 and 5,960.69 is: 8,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.51 : 14,733.28 = 5,960.69 : x
  2. Step 2: Convert to fraction form
    10,676.51/14,733.28 = 5,960.69/x
  3. Step 3: Cross multiply
    10,676.51x = 14,733.28 × 5,960.69
  4. Step 4: Simplify right side
    10,676.51x = 87,820,559.05
  5. Step 5: Solve for x
    x = 87,820,559.05/10,676.51
  6. Step 6: Final answer
    x = 8,225.58

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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.