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Finding the Fourth Proportional to 7,658.33, 10,571.74 and 4,675.24

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Solution

The fourth proportional to 7,658.33, 10,571.74 and 4,675.24 is: 6,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.33 : 10,571.74 = 4,675.24 : x
  2. Step 2: Convert to fraction form
    7,658.33/10,571.74 = 4,675.24/x
  3. Step 3: Cross multiply
    7,658.33x = 10,571.74 × 4,675.24
  4. Step 4: Simplify right side
    7,658.33x = 49,425,421.72
  5. Step 5: Solve for x
    x = 49,425,421.72/7,658.33
  6. Step 6: Final answer
    x = 6,453.81

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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.