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Finding the Fourth Proportional to 8,472.24, 12,703.50 and 7,983

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Solution

The fourth proportional to 8,472.24, 12,703.50 and 7,983 is: 11,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.24 : 12,703.50 = 7,983 : x
  2. Step 2: Convert to fraction form
    8,472.24/12,703.50 = 7,983/x
  3. Step 3: Cross multiply
    8,472.24x = 12,703.50 × 7,983
  4. Step 4: Simplify right side
    8,472.24x = 101,412,040.50
  5. Step 5: Solve for x
    x = 101,412,040.50/8,472.24
  6. Step 6: Final answer
    x = 11,969.92

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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.