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Finding the Fourth Proportional to 10,128.80, 15,193.10 and 3,203.30

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Solution

The fourth proportional to 10,128.80, 15,193.10 and 3,203.30 is: 4,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.80 : 15,193.10 = 3,203.30 : x
  2. Step 2: Convert to fraction form
    10,128.80/15,193.10 = 3,203.30/x
  3. Step 3: Cross multiply
    10,128.80x = 15,193.10 × 3,203.30
  4. Step 4: Simplify right side
    10,128.80x = 48,668,057.23
  5. Step 5: Solve for x
    x = 48,668,057.23/10,128.80
  6. Step 6: Final answer
    x = 4,804.92

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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.