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Finding the Fourth Proportional to 10,705.22, 16,053.90 and 3,683.24

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Solution

The fourth proportional to 10,705.22, 16,053.90 and 3,683.24 is: 5,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.22 : 16,053.90 = 3,683.24 : x
  2. Step 2: Convert to fraction form
    10,705.22/16,053.90 = 3,683.24/x
  3. Step 3: Cross multiply
    10,705.22x = 16,053.90 × 3,683.24
  4. Step 4: Simplify right side
    10,705.22x = 59,130,366.64
  5. Step 5: Solve for x
    x = 59,130,366.64/10,705.22
  6. Step 6: Final answer
    x = 5,523.51

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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.