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Finding the Fourth Proportional to 10,599.45, 15,898.42 and 3,203.94

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Solution

The fourth proportional to 10,599.45, 15,898.42 and 3,203.94 is: 4,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.45 : 15,898.42 = 3,203.94 : x
  2. Step 2: Convert to fraction form
    10,599.45/15,898.42 = 3,203.94/x
  3. Step 3: Cross multiply
    10,599.45x = 15,898.42 × 3,203.94
  4. Step 4: Simplify right side
    10,599.45x = 50,937,583.77
  5. Step 5: Solve for x
    x = 50,937,583.77/10,599.45
  6. Step 6: Final answer
    x = 4,805.68

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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.