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Finding the Fourth Proportional to 10,605.50, 15,908.31 and 4,760.67

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Solution

The fourth proportional to 10,605.50, 15,908.31 and 4,760.67 is: 7,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.50 : 15,908.31 = 4,760.67 : x
  2. Step 2: Convert to fraction form
    10,605.50/15,908.31 = 4,760.67/x
  3. Step 3: Cross multiply
    10,605.50x = 15,908.31 × 4,760.67
  4. Step 4: Simplify right side
    10,605.50x = 75,734,214.17
  5. Step 5: Solve for x
    x = 75,734,214.17/10,605.50
  6. Step 6: Final answer
    x = 7,141.03

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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.