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Finding the Fourth Proportional to 8,142.94, 11,237.26 and 4,606.07

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Solution

The fourth proportional to 8,142.94, 11,237.26 and 4,606.07 is: 6,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.94 : 11,237.26 = 4,606.07 : x
  2. Step 2: Convert to fraction form
    8,142.94/11,237.26 = 4,606.07/x
  3. Step 3: Cross multiply
    8,142.94x = 11,237.26 × 4,606.07
  4. Step 4: Simplify right side
    8,142.94x = 51,759,622.75
  5. Step 5: Solve for x
    x = 51,759,622.75/8,142.94
  6. Step 6: Final answer
    x = 6,356.38

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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.