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Finding the Fourth Proportional to 10,653.50, 15,982.85 and 3,357.50

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Solution

The fourth proportional to 10,653.50, 15,982.85 and 3,357.50 is: 5,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.50 : 15,982.85 = 3,357.50 : x
  2. Step 2: Convert to fraction form
    10,653.50/15,982.85 = 3,357.50/x
  3. Step 3: Cross multiply
    10,653.50x = 15,982.85 × 3,357.50
  4. Step 4: Simplify right side
    10,653.50x = 53,662,418.88
  5. Step 5: Solve for x
    x = 53,662,418.88/10,653.50
  6. Step 6: Final answer
    x = 5,037.07

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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.