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Finding the Fourth Proportional to 7,374.64, 10,177.23 and 4,230.22

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Solution

The fourth proportional to 7,374.64, 10,177.23 and 4,230.22 is: 5,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.64 : 10,177.23 = 4,230.22 : x
  2. Step 2: Convert to fraction form
    7,374.64/10,177.23 = 4,230.22/x
  3. Step 3: Cross multiply
    7,374.64x = 10,177.23 × 4,230.22
  4. Step 4: Simplify right side
    7,374.64x = 43,051,921.89
  5. Step 5: Solve for x
    x = 43,051,921.89/7,374.64
  6. Step 6: Final answer
    x = 5,837.83

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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.