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Finding the Fourth Proportional to 10,152.21, 14,010.17 and 5,676.22

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Solution

The fourth proportional to 10,152.21, 14,010.17 and 5,676.22 is: 7,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.21 : 14,010.17 = 5,676.22 : x
  2. Step 2: Convert to fraction form
    10,152.21/14,010.17 = 5,676.22/x
  3. Step 3: Cross multiply
    10,152.21x = 14,010.17 × 5,676.22
  4. Step 4: Simplify right side
    10,152.21x = 79,524,743.75
  5. Step 5: Solve for x
    x = 79,524,743.75/10,152.21
  6. Step 6: Final answer
    x = 7,833.24

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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.