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Finding the Fourth Proportional to 10,504.40, 15,751.20 and 3,927.20

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Solution

The fourth proportional to 10,504.40, 15,751.20 and 3,927.20 is: 5,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.40 : 15,751.20 = 3,927.20 : x
  2. Step 2: Convert to fraction form
    10,504.40/15,751.20 = 3,927.20/x
  3. Step 3: Cross multiply
    10,504.40x = 15,751.20 × 3,927.20
  4. Step 4: Simplify right side
    10,504.40x = 61,858,112.64
  5. Step 5: Solve for x
    x = 61,858,112.64/10,504.40
  6. Step 6: Final answer
    x = 5,888.78

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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.