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Finding the Fourth Proportional to 10,705.48, 16,054.06 and 3,684.16

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Solution

The fourth proportional to 10,705.48, 16,054.06 and 3,684.16 is: 5,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.48 : 16,054.06 = 3,684.16 : x
  2. Step 2: Convert to fraction form
    10,705.48/16,054.06 = 3,684.16/x
  3. Step 3: Cross multiply
    10,705.48x = 16,054.06 × 3,684.16
  4. Step 4: Simplify right side
    10,705.48x = 59,145,725.69
  5. Step 5: Solve for x
    x = 59,145,725.69/10,705.48
  6. Step 6: Final answer
    x = 5,524.81

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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.