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Finding the Fourth Proportional to 10,537.25, 14,541.54 and 5,821.97

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Solution

The fourth proportional to 10,537.25, 14,541.54 and 5,821.97 is: 8,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.25 : 14,541.54 = 5,821.97 : x
  2. Step 2: Convert to fraction form
    10,537.25/14,541.54 = 5,821.97/x
  3. Step 3: Cross multiply
    10,537.25x = 14,541.54 × 5,821.97
  4. Step 4: Simplify right side
    10,537.25x = 84,660,409.63
  5. Step 5: Solve for x
    x = 84,660,409.63/10,537.25
  6. Step 6: Final answer
    x = 8,034.39

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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.