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Finding the Fourth Proportional to 11,424.94, 15,768.57 and 6,456.94

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Solution

The fourth proportional to 11,424.94, 15,768.57 and 6,456.94 is: 8,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.94 : 15,768.57 = 6,456.94 : x
  2. Step 2: Convert to fraction form
    11,424.94/15,768.57 = 6,456.94/x
  3. Step 3: Cross multiply
    11,424.94x = 15,768.57 × 6,456.94
  4. Step 4: Simplify right side
    11,424.94x = 101,816,695.17
  5. Step 5: Solve for x
    x = 101,816,695.17/11,424.94
  6. Step 6: Final answer
    x = 8,911.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.