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Finding the Fourth Proportional to 8,580.75, 11,842.38 and 5,043.75

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Solution

The fourth proportional to 8,580.75, 11,842.38 and 5,043.75 is: 6,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.75 : 11,842.38 = 5,043.75 : x
  2. Step 2: Convert to fraction form
    8,580.75/11,842.38 = 5,043.75/x
  3. Step 3: Cross multiply
    8,580.75x = 11,842.38 × 5,043.75
  4. Step 4: Simplify right side
    8,580.75x = 59,730,004.13
  5. Step 5: Solve for x
    x = 59,730,004.13/8,580.75
  6. Step 6: Final answer
    x = 6,960.93

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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.