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Finding the Fourth Proportional to 10,203.20, 15,304.80 and 2,808.44

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Solution

The fourth proportional to 10,203.20, 15,304.80 and 2,808.44 is: 4,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.20 : 15,304.80 = 2,808.44 : x
  2. Step 2: Convert to fraction form
    10,203.20/15,304.80 = 2,808.44/x
  3. Step 3: Cross multiply
    10,203.20x = 15,304.80 × 2,808.44
  4. Step 4: Simplify right side
    10,203.20x = 42,982,612.51
  5. Step 5: Solve for x
    x = 42,982,612.51/10,203.20
  6. Step 6: Final answer
    x = 4,212.66

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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.