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Finding the Fourth Proportional to 10,833.90, 16,251.32 and 3,438.66

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Solution

The fourth proportional to 10,833.90, 16,251.32 and 3,438.66 is: 5,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.90 : 16,251.32 = 3,438.66 : x
  2. Step 2: Convert to fraction form
    10,833.90/16,251.32 = 3,438.66/x
  3. Step 3: Cross multiply
    10,833.90x = 16,251.32 × 3,438.66
  4. Step 4: Simplify right side
    10,833.90x = 55,882,746.84
  5. Step 5: Solve for x
    x = 55,882,746.84/10,833.90
  6. Step 6: Final answer
    x = 5,158.14

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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.