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Finding the Fourth Proportional to 11,382.81, 17,077.52 and 4,718.08

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Solution

The fourth proportional to 11,382.81, 17,077.52 and 4,718.08 is: 7,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.81 : 17,077.52 = 4,718.08 : x
  2. Step 2: Convert to fraction form
    11,382.81/17,077.52 = 4,718.08/x
  3. Step 3: Cross multiply
    11,382.81x = 17,077.52 × 4,718.08
  4. Step 4: Simplify right side
    11,382.81x = 80,573,105.56
  5. Step 5: Solve for x
    x = 80,573,105.56/11,382.81
  6. Step 6: Final answer
    x = 7,078.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.