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Finding the Fourth Proportional to 10,203.60, 15,302.70 and 3,183.60

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Solution

The fourth proportional to 10,203.60, 15,302.70 and 3,183.60 is: 4,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.60 : 15,302.70 = 3,183.60 : x
  2. Step 2: Convert to fraction form
    10,203.60/15,302.70 = 3,183.60/x
  3. Step 3: Cross multiply
    10,203.60x = 15,302.70 × 3,183.60
  4. Step 4: Simplify right side
    10,203.60x = 48,717,675.72
  5. Step 5: Solve for x
    x = 48,717,675.72/10,203.60
  6. Step 6: Final answer
    x = 4,774.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.