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Finding the Fourth Proportional to 7,601.63, 11,402.31 and 3,438.68

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Solution

The fourth proportional to 7,601.63, 11,402.31 and 3,438.68 is: 5,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.63 : 11,402.31 = 3,438.68 : x
  2. Step 2: Convert to fraction form
    7,601.63/11,402.31 = 3,438.68/x
  3. Step 3: Cross multiply
    7,601.63x = 11,402.31 × 3,438.68
  4. Step 4: Simplify right side
    7,601.63x = 39,208,895.35
  5. Step 5: Solve for x
    x = 39,208,895.35/7,601.63
  6. Step 6: Final answer
    x = 5,157.96

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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.