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Finding the Fourth Proportional to 10,224.00, 14,108.14 and 5,976.05

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Solution

The fourth proportional to 10,224.00, 14,108.14 and 5,976.05 is: 8,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.00 : 14,108.14 = 5,976.05 : x
  2. Step 2: Convert to fraction form
    10,224.00/14,108.14 = 5,976.05/x
  3. Step 3: Cross multiply
    10,224.00x = 14,108.14 × 5,976.05
  4. Step 4: Simplify right side
    10,224.00x = 84,310,950.05
  5. Step 5: Solve for x
    x = 84,310,950.05/10,224.00
  6. Step 6: Final answer
    x = 8,246.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.