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Finding the Fourth Proportional to 7,676.47, 10,593.07 and 5,686.30

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Solution

The fourth proportional to 7,676.47, 10,593.07 and 5,686.30 is: 7,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.47 : 10,593.07 = 5,686.30 : x
  2. Step 2: Convert to fraction form
    7,676.47/10,593.07 = 5,686.30/x
  3. Step 3: Cross multiply
    7,676.47x = 10,593.07 × 5,686.30
  4. Step 4: Simplify right side
    7,676.47x = 60,235,373.94
  5. Step 5: Solve for x
    x = 60,235,373.94/7,676.47
  6. Step 6: Final answer
    x = 7,846.75

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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.