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Finding the Fourth Proportional to 10,598.45, 15,896.93 and 3,202.94

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Solution

The fourth proportional to 10,598.45, 15,896.93 and 3,202.94 is: 4,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.45 : 15,896.93 = 3,202.94 : x
  2. Step 2: Convert to fraction form
    10,598.45/15,896.93 = 3,202.94/x
  3. Step 3: Cross multiply
    10,598.45x = 15,896.93 × 3,202.94
  4. Step 4: Simplify right side
    10,598.45x = 50,916,817.47
  5. Step 5: Solve for x
    x = 50,916,817.47/10,598.45
  6. Step 6: Final answer
    x = 4,804.18

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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.