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Finding the Fourth Proportional to 11,618.16, 17,428.02 and 3,827.04

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Solution

The fourth proportional to 11,618.16, 17,428.02 and 3,827.04 is: 5,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.16 : 17,428.02 = 3,827.04 : x
  2. Step 2: Convert to fraction form
    11,618.16/17,428.02 = 3,827.04/x
  3. Step 3: Cross multiply
    11,618.16x = 17,428.02 × 3,827.04
  4. Step 4: Simplify right side
    11,618.16x = 66,697,729.66
  5. Step 5: Solve for x
    x = 66,697,729.66/11,618.16
  6. Step 6: Final answer
    x = 5,740.82

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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.