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Finding the Fourth Proportional to 11,135.92, 16,705.42 and 3,742.50

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Solution

The fourth proportional to 11,135.92, 16,705.42 and 3,742.50 is: 5,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.92 : 16,705.42 = 3,742.50 : x
  2. Step 2: Convert to fraction form
    11,135.92/16,705.42 = 3,742.50/x
  3. Step 3: Cross multiply
    11,135.92x = 16,705.42 × 3,742.50
  4. Step 4: Simplify right side
    11,135.92x = 62,520,034.35
  5. Step 5: Solve for x
    x = 62,520,034.35/11,135.92
  6. Step 6: Final answer
    x = 5,614.27

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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.