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Finding the Fourth Proportional to 7,635.02, 11,458.81 and 3,257.42

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Solution

The fourth proportional to 7,635.02, 11,458.81 and 3,257.42 is: 4,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.02 : 11,458.81 = 3,257.42 : x
  2. Step 2: Convert to fraction form
    7,635.02/11,458.81 = 3,257.42/x
  3. Step 3: Cross multiply
    7,635.02x = 11,458.81 × 3,257.42
  4. Step 4: Simplify right side
    7,635.02x = 37,326,156.87
  5. Step 5: Solve for x
    x = 37,326,156.87/7,635.02
  6. Step 6: Final answer
    x = 4,888.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.