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Finding the Fourth Proportional to 7,676.17, 10,592.17 and 4,842.48

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Solution

The fourth proportional to 7,676.17, 10,592.17 and 4,842.48 is: 6,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.17 : 10,592.17 = 4,842.48 : x
  2. Step 2: Convert to fraction form
    7,676.17/10,592.17 = 4,842.48/x
  3. Step 3: Cross multiply
    7,676.17x = 10,592.17 × 4,842.48
  4. Step 4: Simplify right side
    7,676.17x = 51,292,371.38
  5. Step 5: Solve for x
    x = 51,292,371.38/7,676.17
  6. Step 6: Final answer
    x = 6,682.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.