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Finding the Fourth Proportional to 10,709.57, 16,053.32 and 4,473.23

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Solution

The fourth proportional to 10,709.57, 16,053.32 and 4,473.23 is: 6,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.57 : 16,053.32 = 4,473.23 : x
  2. Step 2: Convert to fraction form
    10,709.57/16,053.32 = 4,473.23/x
  3. Step 3: Cross multiply
    10,709.57x = 16,053.32 × 4,473.23
  4. Step 4: Simplify right side
    10,709.57x = 71,810,123.54
  5. Step 5: Solve for x
    x = 71,810,123.54/10,709.57
  6. Step 6: Final answer
    x = 6,705.23

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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.