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Finding the Fourth Proportional to 7,658.72, 10,570.16 and 4,676.27

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Solution

The fourth proportional to 7,658.72, 10,570.16 and 4,676.27 is: 6,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.72 : 10,570.16 = 4,676.27 : x
  2. Step 2: Convert to fraction form
    7,658.72/10,570.16 = 4,676.27/x
  3. Step 3: Cross multiply
    7,658.72x = 10,570.16 × 4,676.27
  4. Step 4: Simplify right side
    7,658.72x = 49,428,880.94
  5. Step 5: Solve for x
    x = 49,428,880.94/7,658.72
  6. Step 6: Final answer
    x = 6,453.94

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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.