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Finding the Fourth Proportional to 7,381.57, 11,060.03 and 5,186.37

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Solution

The fourth proportional to 7,381.57, 11,060.03 and 5,186.37 is: 7,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.57 : 11,060.03 = 5,186.37 : x
  2. Step 2: Convert to fraction form
    7,381.57/11,060.03 = 5,186.37/x
  3. Step 3: Cross multiply
    7,381.57x = 11,060.03 × 5,186.37
  4. Step 4: Simplify right side
    7,381.57x = 57,361,411.03
  5. Step 5: Solve for x
    x = 57,361,411.03/7,381.57
  6. Step 6: Final answer
    x = 7,770.89

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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.