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Finding the Fourth Proportional to 10,598.87, 15,898.44 and 3,203.39

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Solution

The fourth proportional to 10,598.87, 15,898.44 and 3,203.39 is: 4,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.87 : 15,898.44 = 3,203.39 : x
  2. Step 2: Convert to fraction form
    10,598.87/15,898.44 = 3,203.39/x
  3. Step 3: Cross multiply
    10,598.87x = 15,898.44 × 3,203.39
  4. Step 4: Simplify right side
    10,598.87x = 50,928,824.22
  5. Step 5: Solve for x
    x = 50,928,824.22/10,598.87
  6. Step 6: Final answer
    x = 4,805.12

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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.