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Finding the Fourth Proportional to 11,862.65, 17,794.82 and 3,542.00

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Solution

The fourth proportional to 11,862.65, 17,794.82 and 3,542.00 is: 5,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.65 : 17,794.82 = 3,542.00 : x
  2. Step 2: Convert to fraction form
    11,862.65/17,794.82 = 3,542.00/x
  3. Step 3: Cross multiply
    11,862.65x = 17,794.82 × 3,542.00
  4. Step 4: Simplify right side
    11,862.65x = 63,029,172.32
  5. Step 5: Solve for x
    x = 63,029,172.32/11,862.65
  6. Step 6: Final answer
    x = 5,313.24

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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.