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Finding the Fourth Proportional to 11,047.71, 15,246.02 and 6,012.14

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Solution

The fourth proportional to 11,047.71, 15,246.02 and 6,012.14 is: 8,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.71 : 15,246.02 = 6,012.14 : x
  2. Step 2: Convert to fraction form
    11,047.71/15,246.02 = 6,012.14/x
  3. Step 3: Cross multiply
    11,047.71x = 15,246.02 × 6,012.14
  4. Step 4: Simplify right side
    11,047.71x = 91,661,100.39
  5. Step 5: Solve for x
    x = 91,661,100.39/11,047.71
  6. Step 6: Final answer
    x = 8,296.84

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Why These Related Problems?

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