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Finding the Fourth Proportional to 10,705.58, 16,054.37 and 3,683.61

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Solution

The fourth proportional to 10,705.58, 16,054.37 and 3,683.61 is: 5,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.58 : 16,054.37 = 3,683.61 : x
  2. Step 2: Convert to fraction form
    10,705.58/16,054.37 = 3,683.61/x
  3. Step 3: Cross multiply
    10,705.58x = 16,054.37 × 3,683.61
  4. Step 4: Simplify right side
    10,705.58x = 59,138,037.88
  5. Step 5: Solve for x
    x = 59,138,037.88/10,705.58
  6. Step 6: Final answer
    x = 5,524.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.