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Finding the Fourth Proportional to 10,833, 16,250.08 and 3,438.04

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Solution

The fourth proportional to 10,833, 16,250.08 and 3,438.04 is: 5,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833 : 16,250.08 = 3,438.04 : x
  2. Step 2: Convert to fraction form
    10,833/16,250.08 = 3,438.04/x
  3. Step 3: Cross multiply
    10,833x = 16,250.08 × 3,438.04
  4. Step 4: Simplify right side
    10,833x = 55,868,425.04
  5. Step 5: Solve for x
    x = 55,868,425.04/10,833
  6. Step 6: Final answer
    x = 5,157.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.