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Finding the Fourth Proportional to 6,828.24, 10,249.48 and 6,053.20

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Solution

The fourth proportional to 6,828.24, 10,249.48 and 6,053.20 is: 9,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.24 : 10,249.48 = 6,053.20 : x
  2. Step 2: Convert to fraction form
    6,828.24/10,249.48 = 6,053.20/x
  3. Step 3: Cross multiply
    6,828.24x = 10,249.48 × 6,053.20
  4. Step 4: Simplify right side
    6,828.24x = 62,042,152.34
  5. Step 5: Solve for x
    x = 62,042,152.34/6,828.24
  6. Step 6: Final answer
    x = 9,086.11

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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.