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Finding the Fourth Proportional to 7,182.09, 10,824.69 and 6,780.24

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Solution

The fourth proportional to 7,182.09, 10,824.69 and 6,780.24 is: 10,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.09 : 10,824.69 = 6,780.24 : x
  2. Step 2: Convert to fraction form
    7,182.09/10,824.69 = 6,780.24/x
  3. Step 3: Cross multiply
    7,182.09x = 10,824.69 × 6,780.24
  4. Step 4: Simplify right side
    7,182.09x = 73,393,996.13
  5. Step 5: Solve for x
    x = 73,393,996.13/7,182.09
  6. Step 6: Final answer
    x = 10,219.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.