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Finding the Fourth Proportional to 7,381.42, 10,186.08 and 4,024.16

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Solution

The fourth proportional to 7,381.42, 10,186.08 and 4,024.16 is: 5,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.42 : 10,186.08 = 4,024.16 : x
  2. Step 2: Convert to fraction form
    7,381.42/10,186.08 = 4,024.16/x
  3. Step 3: Cross multiply
    7,381.42x = 10,186.08 × 4,024.16
  4. Step 4: Simplify right side
    7,381.42x = 40,990,415.69
  5. Step 5: Solve for x
    x = 40,990,415.69/7,381.42
  6. Step 6: Final answer
    x = 5,553.19

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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.