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Finding the Fourth Proportional to 27,532, 41,291.82 and 7,810.12

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Solution

The fourth proportional to 27,532, 41,291.82 and 7,810.12 is: 11,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532 : 41,291.82 = 7,810.12 : x
  2. Step 2: Convert to fraction form
    27,532/41,291.82 = 7,810.12/x
  3. Step 3: Cross multiply
    27,532x = 41,291.82 × 7,810.12
  4. Step 4: Simplify right side
    27,532x = 322,494,069.22
  5. Step 5: Solve for x
    x = 322,494,069.22/27,532
  6. Step 6: Final answer
    x = 11,713.43

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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.