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Finding the Fourth Proportional to 27,560.14, 41,334.58 and 7,833.40

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Solution

The fourth proportional to 27,560.14, 41,334.58 and 7,833.40 is: 11,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,560.14 : 41,334.58 = 7,833.40 : x
  2. Step 2: Convert to fraction form
    27,560.14/41,334.58 = 7,833.40/x
  3. Step 3: Cross multiply
    27,560.14x = 41,334.58 × 7,833.40
  4. Step 4: Simplify right side
    27,560.14x = 323,790,298.97
  5. Step 5: Solve for x
    x = 323,790,298.97/27,560.14
  6. Step 6: Final answer
    x = 11,748.50

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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.