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Finding the Fourth Proportional to 10,542.17, 14,549.13 and 5,827.37

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Solution

The fourth proportional to 10,542.17, 14,549.13 and 5,827.37 is: 8,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.17 : 14,549.13 = 5,827.37 : x
  2. Step 2: Convert to fraction form
    10,542.17/14,549.13 = 5,827.37/x
  3. Step 3: Cross multiply
    10,542.17x = 14,549.13 × 5,827.37
  4. Step 4: Simplify right side
    10,542.17x = 84,783,090.94
  5. Step 5: Solve for x
    x = 84,783,090.94/10,542.17
  6. Step 6: Final answer
    x = 8,042.28

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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.