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Finding the Fourth Proportional to 10,599.66, 15,902.04 and 3,203.67

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Solution

The fourth proportional to 10,599.66, 15,902.04 and 3,203.67 is: 4,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.66 : 15,902.04 = 3,203.67 : x
  2. Step 2: Convert to fraction form
    10,599.66/15,902.04 = 3,203.67/x
  3. Step 3: Cross multiply
    10,599.66x = 15,902.04 × 3,203.67
  4. Step 4: Simplify right side
    10,599.66x = 50,944,888.49
  5. Step 5: Solve for x
    x = 50,944,888.49/10,599.66
  6. Step 6: Final answer
    x = 4,806.28

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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.