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Finding the Fourth Proportional to 11,407.50, 17,069.62 and 6,729.75

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Solution

The fourth proportional to 11,407.50, 17,069.62 and 6,729.75 is: 10,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.50 : 17,069.62 = 6,729.75 : x
  2. Step 2: Convert to fraction form
    11,407.50/17,069.62 = 6,729.75/x
  3. Step 3: Cross multiply
    11,407.50x = 17,069.62 × 6,729.75
  4. Step 4: Simplify right side
    11,407.50x = 114,874,315.61
  5. Step 5: Solve for x
    x = 114,874,315.61/11,407.50
  6. Step 6: Final answer
    x = 10,070.07

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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.