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Finding the Fourth Proportional to 11,854.53, 16,357.82 and 6,549.39

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Solution

The fourth proportional to 11,854.53, 16,357.82 and 6,549.39 is: 9,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.53 : 16,357.82 = 6,549.39 : x
  2. Step 2: Convert to fraction form
    11,854.53/16,357.82 = 6,549.39/x
  3. Step 3: Cross multiply
    11,854.53x = 16,357.82 × 6,549.39
  4. Step 4: Simplify right side
    11,854.53x = 107,133,709.98
  5. Step 5: Solve for x
    x = 107,133,709.98/11,854.53
  6. Step 6: Final answer
    x = 9,037.36

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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.