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Finding the Fourth Proportional to 27,263.82, 40,895.58 and 7,542.36

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Solution

The fourth proportional to 27,263.82, 40,895.58 and 7,542.36 is: 11,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,263.82 : 40,895.58 = 7,542.36 : x
  2. Step 2: Convert to fraction form
    27,263.82/40,895.58 = 7,542.36/x
  3. Step 3: Cross multiply
    27,263.82x = 40,895.58 × 7,542.36
  4. Step 4: Simplify right side
    27,263.82x = 308,449,186.77
  5. Step 5: Solve for x
    x = 308,449,186.77/27,263.82
  6. Step 6: Final answer
    x = 11,313.50

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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.