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Finding the Fourth Proportional to 27,080.76, 40,616.82 and 7,359.96

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Solution

The fourth proportional to 27,080.76, 40,616.82 and 7,359.96 is: 11,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,080.76 : 40,616.82 = 7,359.96 : x
  2. Step 2: Convert to fraction form
    27,080.76/40,616.82 = 7,359.96/x
  3. Step 3: Cross multiply
    27,080.76x = 40,616.82 × 7,359.96
  4. Step 4: Simplify right side
    27,080.76x = 298,938,170.53
  5. Step 5: Solve for x
    x = 298,938,170.53/27,080.76
  6. Step 6: Final answer
    x = 11,038.77

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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.