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Finding the Fourth Proportional to 11,047.14, 15,244.75 and 6,011.24

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Solution

The fourth proportional to 11,047.14, 15,244.75 and 6,011.24 is: 8,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.14 : 15,244.75 = 6,011.24 : x
  2. Step 2: Convert to fraction form
    11,047.14/15,244.75 = 6,011.24/x
  3. Step 3: Cross multiply
    11,047.14x = 15,244.75 × 6,011.24
  4. Step 4: Simplify right side
    11,047.14x = 91,639,882.73
  5. Step 5: Solve for x
    x = 91,639,882.73/11,047.14
  6. Step 6: Final answer
    x = 8,295.35

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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.