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Finding the Fourth Proportional to 10,538.43, 14,541.79 and 5,822.43

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Solution

The fourth proportional to 10,538.43, 14,541.79 and 5,822.43 is: 8,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.43 : 14,541.79 = 5,822.43 : x
  2. Step 2: Convert to fraction form
    10,538.43/14,541.79 = 5,822.43/x
  3. Step 3: Cross multiply
    10,538.43x = 14,541.79 × 5,822.43
  4. Step 4: Simplify right side
    10,538.43x = 84,668,554.35
  5. Step 5: Solve for x
    x = 84,668,554.35/10,538.43
  6. Step 6: Final answer
    x = 8,034.27

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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.