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Finding the Fourth Proportional to 11,729.65, 17,594.47 and 3,943.93

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Solution

The fourth proportional to 11,729.65, 17,594.47 and 3,943.93 is: 5,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.65 : 17,594.47 = 3,943.93 : x
  2. Step 2: Convert to fraction form
    11,729.65/17,594.47 = 3,943.93/x
  3. Step 3: Cross multiply
    11,729.65x = 17,594.47 × 3,943.93
  4. Step 4: Simplify right side
    11,729.65x = 69,391,358.07
  5. Step 5: Solve for x
    x = 69,391,358.07/11,729.65
  6. Step 6: Final answer
    x = 5,915.89

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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.