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Finding the Fourth Proportional to 7,658.09, 10,568.85 and 4,301.73

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Solution

The fourth proportional to 7,658.09, 10,568.85 and 4,301.73 is: 5,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.09 : 10,568.85 = 4,301.73 : x
  2. Step 2: Convert to fraction form
    7,658.09/10,568.85 = 4,301.73/x
  3. Step 3: Cross multiply
    7,658.09x = 10,568.85 × 4,301.73
  4. Step 4: Simplify right side
    7,658.09x = 45,464,294.90
  5. Step 5: Solve for x
    x = 45,464,294.90/7,658.09
  6. Step 6: Final answer
    x = 5,936.77

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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.