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Finding the Fourth Proportional to 12,463.50, 18,703.34 and 7,462.11

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Solution

The fourth proportional to 12,463.50, 18,703.34 and 7,462.11 is: 11,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.50 : 18,703.34 = 7,462.11 : x
  2. Step 2: Convert to fraction form
    12,463.50/18,703.34 = 7,462.11/x
  3. Step 3: Cross multiply
    12,463.50x = 18,703.34 × 7,462.11
  4. Step 4: Simplify right side
    12,463.50x = 139,566,286.93
  5. Step 5: Solve for x
    x = 139,566,286.93/12,463.50
  6. Step 6: Final answer
    x = 11,198.00

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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.