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Finding the Fourth Proportional to 10,685.62, 16,026.81 and 3,758.50

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Solution

The fourth proportional to 10,685.62, 16,026.81 and 3,758.50 is: 5,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.62 : 16,026.81 = 3,758.50 : x
  2. Step 2: Convert to fraction form
    10,685.62/16,026.81 = 3,758.50/x
  3. Step 3: Cross multiply
    10,685.62x = 16,026.81 × 3,758.50
  4. Step 4: Simplify right side
    10,685.62x = 60,236,765.39
  5. Step 5: Solve for x
    x = 60,236,765.39/10,685.62
  6. Step 6: Final answer
    x = 5,637.18

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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.