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Finding the Fourth Proportional to 11,417.75, 17,127.99 and 4,020.68

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Solution

The fourth proportional to 11,417.75, 17,127.99 and 4,020.68 is: 6,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.75 : 17,127.99 = 4,020.68 : x
  2. Step 2: Convert to fraction form
    11,417.75/17,127.99 = 4,020.68/x
  3. Step 3: Cross multiply
    11,417.75x = 17,127.99 × 4,020.68
  4. Step 4: Simplify right side
    11,417.75x = 68,866,081.19
  5. Step 5: Solve for x
    x = 68,866,081.19/11,417.75
  6. Step 6: Final answer
    x = 6,031.50

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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.