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Finding the Fourth Proportional to 10,597.62, 15,896.51 and 3,202.05

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Solution

The fourth proportional to 10,597.62, 15,896.51 and 3,202.05 is: 4,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.62 : 15,896.51 = 3,202.05 : x
  2. Step 2: Convert to fraction form
    10,597.62/15,896.51 = 3,202.05/x
  3. Step 3: Cross multiply
    10,597.62x = 15,896.51 × 3,202.05
  4. Step 4: Simplify right side
    10,597.62x = 50,901,403.84
  5. Step 5: Solve for x
    x = 50,901,403.84/10,597.62
  6. Step 6: Final answer
    x = 4,803.10

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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.