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Finding the Fourth Proportional to 10,338.50, 15,505.02 and 4,493.75

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Solution

The fourth proportional to 10,338.50, 15,505.02 and 4,493.75 is: 6,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.50 : 15,505.02 = 4,493.75 : x
  2. Step 2: Convert to fraction form
    10,338.50/15,505.02 = 4,493.75/x
  3. Step 3: Cross multiply
    10,338.50x = 15,505.02 × 4,493.75
  4. Step 4: Simplify right side
    10,338.50x = 69,675,683.63
  5. Step 5: Solve for x
    x = 69,675,683.63/10,338.50
  6. Step 6: Final answer
    x = 6,739.44

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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.