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Finding the Fourth Proportional to 7,380.44, 10,186.32 and 4,398

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Solution

The fourth proportional to 7,380.44, 10,186.32 and 4,398 is: 6,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.44 : 10,186.32 = 4,398 : x
  2. Step 2: Convert to fraction form
    7,380.44/10,186.32 = 4,398/x
  3. Step 3: Cross multiply
    7,380.44x = 10,186.32 × 4,398
  4. Step 4: Simplify right side
    7,380.44x = 44,799,435.36
  5. Step 5: Solve for x
    x = 44,799,435.36/7,380.44
  6. Step 6: Final answer
    x = 6,070.02

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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.