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Finding the Fourth Proportional to 6,676.82, 10,006.11 and 5,032.01

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Solution

The fourth proportional to 6,676.82, 10,006.11 and 5,032.01 is: 7,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.82 : 10,006.11 = 5,032.01 : x
  2. Step 2: Convert to fraction form
    6,676.82/10,006.11 = 5,032.01/x
  3. Step 3: Cross multiply
    6,676.82x = 10,006.11 × 5,032.01
  4. Step 4: Simplify right side
    6,676.82x = 50,350,845.58
  5. Step 5: Solve for x
    x = 50,350,845.58/6,676.82
  6. Step 6: Final answer
    x = 7,541.14

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Why These Related Problems?

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