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Finding the Fourth Proportional to 10,188.80, 15,286.80 and 3,615.20

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Solution

The fourth proportional to 10,188.80, 15,286.80 and 3,615.20 is: 5,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.80 : 15,286.80 = 3,615.20 : x
  2. Step 2: Convert to fraction form
    10,188.80/15,286.80 = 3,615.20/x
  3. Step 3: Cross multiply
    10,188.80x = 15,286.80 × 3,615.20
  4. Step 4: Simplify right side
    10,188.80x = 55,264,839.36
  5. Step 5: Solve for x
    x = 55,264,839.36/10,188.80
  6. Step 6: Final answer
    x = 5,424.08

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Why These Related Problems?

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