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Finding the Fourth Proportional to 10,833.57, 16,253.19 and 3,438.14

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Solution

The fourth proportional to 10,833.57, 16,253.19 and 3,438.14 is: 5,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.57 : 16,253.19 = 3,438.14 : x
  2. Step 2: Convert to fraction form
    10,833.57/16,253.19 = 3,438.14/x
  3. Step 3: Cross multiply
    10,833.57x = 16,253.19 × 3,438.14
  4. Step 4: Simplify right side
    10,833.57x = 55,880,661.40
  5. Step 5: Solve for x
    x = 55,880,661.40/10,833.57
  6. Step 6: Final answer
    x = 5,158.10

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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.