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Finding the Fourth Proportional to 6,824.80, 10,237.20 and 4,751.20

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Solution

The fourth proportional to 6,824.80, 10,237.20 and 4,751.20 is: 7,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.80 : 10,237.20 = 4,751.20 : x
  2. Step 2: Convert to fraction form
    6,824.80/10,237.20 = 4,751.20/x
  3. Step 3: Cross multiply
    6,824.80x = 10,237.20 × 4,751.20
  4. Step 4: Simplify right side
    6,824.80x = 48,638,984.64
  5. Step 5: Solve for x
    x = 48,638,984.64/6,824.80
  6. Step 6: Final answer
    x = 7,126.80

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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.