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Finding the Fourth Proportional to 11,409.90, 17,117.48 and 4,836.34

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Solution

The fourth proportional to 11,409.90, 17,117.48 and 4,836.34 is: 7,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.90 : 17,117.48 = 4,836.34 : x
  2. Step 2: Convert to fraction form
    11,409.90/17,117.48 = 4,836.34/x
  3. Step 3: Cross multiply
    11,409.90x = 17,117.48 × 4,836.34
  4. Step 4: Simplify right side
    11,409.90x = 82,785,953.22
  5. Step 5: Solve for x
    x = 82,785,953.22/11,409.90
  6. Step 6: Final answer
    x = 7,255.62

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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.