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Finding the Fourth Proportional to 8,385.10, 11,569.71 and 5,027.02

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Solution

The fourth proportional to 8,385.10, 11,569.71 and 5,027.02 is: 6,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.10 : 11,569.71 = 5,027.02 : x
  2. Step 2: Convert to fraction form
    8,385.10/11,569.71 = 5,027.02/x
  3. Step 3: Cross multiply
    8,385.10x = 11,569.71 × 5,027.02
  4. Step 4: Simplify right side
    8,385.10x = 58,161,163.56
  5. Step 5: Solve for x
    x = 58,161,163.56/8,385.10
  6. Step 6: Final answer
    x = 6,936.25

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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.