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Finding the Fourth Proportional to 10,203.64, 15,298.60 and 3,626.20

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Solution

The fourth proportional to 10,203.64, 15,298.60 and 3,626.20 is: 5,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.64 : 15,298.60 = 3,626.20 : x
  2. Step 2: Convert to fraction form
    10,203.64/15,298.60 = 3,626.20/x
  3. Step 3: Cross multiply
    10,203.64x = 15,298.60 × 3,626.20
  4. Step 4: Simplify right side
    10,203.64x = 55,475,783.32
  5. Step 5: Solve for x
    x = 55,475,783.32/10,203.64
  6. Step 6: Final answer
    x = 5,436.86

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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.