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Finding the Fourth Proportional to 7,381.46, 10,186.16 and 4,024.22

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Solution

The fourth proportional to 7,381.46, 10,186.16 and 4,024.22 is: 5,553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.46 : 10,186.16 = 4,024.22 : x
  2. Step 2: Convert to fraction form
    7,381.46/10,186.16 = 4,024.22/x
  3. Step 3: Cross multiply
    7,381.46x = 10,186.16 × 4,024.22
  4. Step 4: Simplify right side
    7,381.46x = 40,991,384.32
  5. Step 5: Solve for x
    x = 40,991,384.32/7,381.46
  6. Step 6: Final answer
    x = 5,553.29

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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.