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Finding the Fourth Proportional to 7,374.08, 10,176 and 4,230.20

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Solution

The fourth proportional to 7,374.08, 10,176 and 4,230.20 is: 5,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.08 : 10,176 = 4,230.20 : x
  2. Step 2: Convert to fraction form
    7,374.08/10,176 = 4,230.20/x
  3. Step 3: Cross multiply
    7,374.08x = 10,176 × 4,230.20
  4. Step 4: Simplify right side
    7,374.08x = 43,046,515.20
  5. Step 5: Solve for x
    x = 43,046,515.20/7,374.08
  6. Step 6: Final answer
    x = 5,837.54

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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.