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Finding the Fourth Proportional to 27,284.43, 40,926.95 and 7,563.16

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Solution

The fourth proportional to 27,284.43, 40,926.95 and 7,563.16 is: 11,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.43 : 40,926.95 = 7,563.16 : x
  2. Step 2: Convert to fraction form
    27,284.43/40,926.95 = 7,563.16/x
  3. Step 3: Cross multiply
    27,284.43x = 40,926.95 × 7,563.16
  4. Step 4: Simplify right side
    27,284.43x = 309,537,071.16
  5. Step 5: Solve for x
    x = 309,537,071.16/27,284.43
  6. Step 6: Final answer
    x = 11,344.82

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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.