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Finding the Fourth Proportional to 11,854.44, 16,358.32 and 6,549.45

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Solution

The fourth proportional to 11,854.44, 16,358.32 and 6,549.45 is: 9,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.44 : 16,358.32 = 6,549.45 : x
  2. Step 2: Convert to fraction form
    11,854.44/16,358.32 = 6,549.45/x
  3. Step 3: Cross multiply
    11,854.44x = 16,358.32 × 6,549.45
  4. Step 4: Simplify right side
    11,854.44x = 107,137,998.92
  5. Step 5: Solve for x
    x = 107,137,998.92/11,854.44
  6. Step 6: Final answer
    x = 9,037.80

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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.