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Finding the Fourth Proportional to 12,382.62, 17,081.10 and 7,341.99

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Solution

The fourth proportional to 12,382.62, 17,081.10 and 7,341.99 is: 10,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.62 : 17,081.10 = 7,341.99 : x
  2. Step 2: Convert to fraction form
    12,382.62/17,081.10 = 7,341.99/x
  3. Step 3: Cross multiply
    12,382.62x = 17,081.10 × 7,341.99
  4. Step 4: Simplify right side
    12,382.62x = 125,409,265.39
  5. Step 5: Solve for x
    x = 125,409,265.39/12,382.62
  6. Step 6: Final answer
    x = 10,127.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.