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Finding the Fourth Proportional to 10,537.88, 14,542.10 and 5,822.04

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Solution

The fourth proportional to 10,537.88, 14,542.10 and 5,822.04 is: 8,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.88 : 14,542.10 = 5,822.04 : x
  2. Step 2: Convert to fraction form
    10,537.88/14,542.10 = 5,822.04/x
  3. Step 3: Cross multiply
    10,537.88x = 14,542.10 × 5,822.04
  4. Step 4: Simplify right side
    10,537.88x = 84,664,687.88
  5. Step 5: Solve for x
    x = 84,664,687.88/10,537.88
  6. Step 6: Final answer
    x = 8,034.32

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