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Finding the Fourth Proportional to 11,047.14, 15,244.79 and 6,011.46

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Solution

The fourth proportional to 11,047.14, 15,244.79 and 6,011.46 is: 8,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.14 : 15,244.79 = 6,011.46 : x
  2. Step 2: Convert to fraction form
    11,047.14/15,244.79 = 6,011.46/x
  3. Step 3: Cross multiply
    11,047.14x = 15,244.79 × 6,011.46
  4. Step 4: Simplify right side
    11,047.14x = 91,643,415.24
  5. Step 5: Solve for x
    x = 91,643,415.24/11,047.14
  6. Step 6: Final answer
    x = 8,295.67

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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.