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Finding the Fourth Proportional to 7,374.23, 10,174.80 and 4,230.42

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Solution

The fourth proportional to 7,374.23, 10,174.80 and 4,230.42 is: 5,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.23 : 10,174.80 = 4,230.42 : x
  2. Step 2: Convert to fraction form
    7,374.23/10,174.80 = 4,230.42/x
  3. Step 3: Cross multiply
    7,374.23x = 10,174.80 × 4,230.42
  4. Step 4: Simplify right side
    7,374.23x = 43,043,677.42
  5. Step 5: Solve for x
    x = 43,043,677.42/7,374.23
  6. Step 6: Final answer
    x = 5,837.04

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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.