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Finding the Fourth Proportional to 11,854.49, 16,359.37 and 6,549.43

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Solution

The fourth proportional to 11,854.49, 16,359.37 and 6,549.43 is: 9,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.49 : 16,359.37 = 6,549.43 : x
  2. Step 2: Convert to fraction form
    11,854.49/16,359.37 = 6,549.43/x
  3. Step 3: Cross multiply
    11,854.49x = 16,359.37 × 6,549.43
  4. Step 4: Simplify right side
    11,854.49x = 107,144,577.30
  5. Step 5: Solve for x
    x = 107,144,577.30/11,854.49
  6. Step 6: Final answer
    x = 9,038.31

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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.