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Finding the Fourth Proportional to 7,817.45, 11,675.07 and 6,259.82

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Solution

The fourth proportional to 7,817.45, 11,675.07 and 6,259.82 is: 9,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.45 : 11,675.07 = 6,259.82 : x
  2. Step 2: Convert to fraction form
    7,817.45/11,675.07 = 6,259.82/x
  3. Step 3: Cross multiply
    7,817.45x = 11,675.07 × 6,259.82
  4. Step 4: Simplify right side
    7,817.45x = 73,083,778.31
  5. Step 5: Solve for x
    x = 73,083,778.31/7,817.45
  6. Step 6: Final answer
    x = 9,348.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.